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Finding the Fourth Proportional to 1,517.36, 2,094.12 and 854.19

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Solution

The fourth proportional to 1,517.36, 2,094.12 and 854.19 is: 1,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.36 : 2,094.12 = 854.19 : x
  2. Step 2: Convert to fraction form
    1,517.36/2,094.12 = 854.19/x
  3. Step 3: Cross multiply
    1,517.36x = 2,094.12 × 854.19
  4. Step 4: Simplify right side
    1,517.36x = 1,788,776.36
  5. Step 5: Solve for x
    x = 1,788,776.36/1,517.36
  6. Step 6: Final answer
    x = 1,178.88

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Half scale
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Double scale
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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.