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Finding the Fourth Proportional to 1,747.29, 2,411.20 and 961.33

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Solution

The fourth proportional to 1,747.29, 2,411.20 and 961.33 is: 1,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.29 : 2,411.20 = 961.33 : x
  2. Step 2: Convert to fraction form
    1,747.29/2,411.20 = 961.33/x
  3. Step 3: Cross multiply
    1,747.29x = 2,411.20 × 961.33
  4. Step 4: Simplify right side
    1,747.29x = 2,317,958.90
  5. Step 5: Solve for x
    x = 2,317,958.90/1,747.29
  6. Step 6: Final answer
    x = 1,326.60

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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.