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Finding the Fourth Proportional to 1,546.38, 2,134.12 and 987.10

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Solution

The fourth proportional to 1,546.38, 2,134.12 and 987.10 is: 1,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.38 : 2,134.12 = 987.10 : x
  2. Step 2: Convert to fraction form
    1,546.38/2,134.12 = 987.10/x
  3. Step 3: Cross multiply
    1,546.38x = 2,134.12 × 987.10
  4. Step 4: Simplify right side
    1,546.38x = 2,106,589.85
  5. Step 5: Solve for x
    x = 2,106,589.85/1,546.38
  6. Step 6: Final answer
    x = 1,362.27

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Half scale
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Double scale
Find fourth proportional to 1,547.38, 2,135.50 and 988.10
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.