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Finding the Fourth Proportional to 2,909.38, 4,364.52 and 961.42

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Solution

The fourth proportional to 2,909.38, 4,364.52 and 961.42 is: 1,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.38 : 4,364.52 = 961.42 : x
  2. Step 2: Convert to fraction form
    2,909.38/4,364.52 = 961.42/x
  3. Step 3: Cross multiply
    2,909.38x = 4,364.52 × 961.42
  4. Step 4: Simplify right side
    2,909.38x = 4,196,136.82
  5. Step 5: Solve for x
    x = 4,196,136.82/2,909.38
  6. Step 6: Final answer
    x = 1,442.28

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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.