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Finding the Fourth Proportional to 2,521.29, 3,781.79 and 961.45

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Solution

The fourth proportional to 2,521.29, 3,781.79 and 961.45 is: 1,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.29 : 3,781.79 = 961.45 : x
  2. Step 2: Convert to fraction form
    2,521.29/3,781.79 = 961.45/x
  3. Step 3: Cross multiply
    2,521.29x = 3,781.79 × 961.45
  4. Step 4: Simplify right side
    2,521.29x = 3,636,005.04
  5. Step 5: Solve for x
    x = 3,636,005.04/2,521.29
  6. Step 6: Final answer
    x = 1,442.12

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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.