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Finding the Fourth Proportional to 1,707.73, 2,354.49 and 1,147.31

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Solution

The fourth proportional to 1,707.73, 2,354.49 and 1,147.31 is: 1,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.73 : 2,354.49 = 1,147.31 : x
  2. Step 2: Convert to fraction form
    1,707.73/2,354.49 = 1,147.31/x
  3. Step 3: Cross multiply
    1,707.73x = 2,354.49 × 1,147.31
  4. Step 4: Simplify right side
    1,707.73x = 2,701,318.15
  5. Step 5: Solve for x
    x = 2,701,318.15/1,707.73
  6. Step 6: Final answer
    x = 1,581.82

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