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Finding the Fourth Proportional to 1,537.92, 2,306.20 and 442.03

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Solution

The fourth proportional to 1,537.92, 2,306.20 and 442.03 is: 662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.92 : 2,306.20 = 442.03 : x
  2. Step 2: Convert to fraction form
    1,537.92/2,306.20 = 442.03/x
  3. Step 3: Cross multiply
    1,537.92x = 2,306.20 × 442.03
  4. Step 4: Simplify right side
    1,537.92x = 1,019,409.59
  5. Step 5: Solve for x
    x = 1,019,409.59/1,537.92
  6. Step 6: Final answer
    x = 662.85

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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.