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Finding the Fourth Proportional to 2,292.72, 3,432.84 and 2,142.96

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Solution

The fourth proportional to 2,292.72, 3,432.84 and 2,142.96 is: 3,208.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.72 : 3,432.84 = 2,142.96 : x
  2. Step 2: Convert to fraction form
    2,292.72/3,432.84 = 2,142.96/x
  3. Step 3: Cross multiply
    2,292.72x = 3,432.84 × 2,142.96
  4. Step 4: Simplify right side
    2,292.72x = 7,356,438.81
  5. Step 5: Solve for x
    x = 7,356,438.81/2,292.72
  6. Step 6: Final answer
    x = 3,208.61

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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.