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Finding the Fourth Proportional to 1,656.39, 2,485.19 and 731.91

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Solution

The fourth proportional to 1,656.39, 2,485.19 and 731.91 is: 1,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.39 : 2,485.19 = 731.91 : x
  2. Step 2: Convert to fraction form
    1,656.39/2,485.19 = 731.91/x
  3. Step 3: Cross multiply
    1,656.39x = 2,485.19 × 731.91
  4. Step 4: Simplify right side
    1,656.39x = 1,818,935.41
  5. Step 5: Solve for x
    x = 1,818,935.41/1,656.39
  6. Step 6: Final answer
    x = 1,098.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.