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Finding the Fourth Proportional to 2,909.54, 4,364.68 and 961.22

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Solution

The fourth proportional to 2,909.54, 4,364.68 and 961.22 is: 1,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.54 : 4,364.68 = 961.22 : x
  2. Step 2: Convert to fraction form
    2,909.54/4,364.68 = 961.22/x
  3. Step 3: Cross multiply
    2,909.54x = 4,364.68 × 961.22
  4. Step 4: Simplify right side
    2,909.54x = 4,195,417.71
  5. Step 5: Solve for x
    x = 4,195,417.71/2,909.54
  6. Step 6: Final answer
    x = 1,441.95

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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.