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Finding the Fourth Proportional to 1,934.35, 2,901.52 and 961.13

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Solution

The fourth proportional to 1,934.35, 2,901.52 and 961.13 is: 1,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.35 : 2,901.52 = 961.13 : x
  2. Step 2: Convert to fraction form
    1,934.35/2,901.52 = 961.13/x
  3. Step 3: Cross multiply
    1,934.35x = 2,901.52 × 961.13
  4. Step 4: Simplify right side
    1,934.35x = 2,788,737.92
  5. Step 5: Solve for x
    x = 2,788,737.92/1,934.35
  6. Step 6: Final answer
    x = 1,441.69

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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.