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Finding the Fourth Proportional to 2,299.76, 3,432.96 and 2,128.44

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Solution

The fourth proportional to 2,299.76, 3,432.96 and 2,128.44 is: 3,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.76 : 3,432.96 = 2,128.44 : x
  2. Step 2: Convert to fraction form
    2,299.76/3,432.96 = 2,128.44/x
  3. Step 3: Cross multiply
    2,299.76x = 3,432.96 × 2,128.44
  4. Step 4: Simplify right side
    2,299.76x = 7,306,849.38
  5. Step 5: Solve for x
    x = 7,306,849.38/2,299.76
  6. Step 6: Final answer
    x = 3,177.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.