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Finding the Fourth Proportional to 1,836.69, 2,534.60 and 997.37

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Solution

The fourth proportional to 1,836.69, 2,534.60 and 997.37 is: 1,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.69 : 2,534.60 = 997.37 : x
  2. Step 2: Convert to fraction form
    1,836.69/2,534.60 = 997.37/x
  3. Step 3: Cross multiply
    1,836.69x = 2,534.60 × 997.37
  4. Step 4: Simplify right side
    1,836.69x = 2,527,934.00
  5. Step 5: Solve for x
    x = 2,527,934.00/1,836.69
  6. Step 6: Final answer
    x = 1,376.35

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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.