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Finding the Fourth Proportional to 3,061.33, 4,590.30 and 952.38

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Solution

The fourth proportional to 3,061.33, 4,590.30 and 952.38 is: 1,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.33 : 4,590.30 = 952.38 : x
  2. Step 2: Convert to fraction form
    3,061.33/4,590.30 = 952.38/x
  3. Step 3: Cross multiply
    3,061.33x = 4,590.30 × 952.38
  4. Step 4: Simplify right side
    3,061.33x = 4,371,709.91
  5. Step 5: Solve for x
    x = 4,371,709.91/3,061.33
  6. Step 6: Final answer
    x = 1,428.04

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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.