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Finding the Fourth Proportional to 2,909.48, 4,363.32 and 961.28

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Solution

The fourth proportional to 2,909.48, 4,363.32 and 961.28 is: 1,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.48 : 4,363.32 = 961.28 : x
  2. Step 2: Convert to fraction form
    2,909.48/4,363.32 = 961.28/x
  3. Step 3: Cross multiply
    2,909.48x = 4,363.32 × 961.28
  4. Step 4: Simplify right side
    2,909.48x = 4,194,372.25
  5. Step 5: Solve for x
    x = 4,194,372.25/2,909.48
  6. Step 6: Final answer
    x = 1,441.62

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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.