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Finding the Fourth Proportional to 2,592.30, 3,885.21 and 2,042.31

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Solution

The fourth proportional to 2,592.30, 3,885.21 and 2,042.31 is: 3,060.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.30 : 3,885.21 = 2,042.31 : x
  2. Step 2: Convert to fraction form
    2,592.30/3,885.21 = 2,042.31/x
  3. Step 3: Cross multiply
    2,592.30x = 3,885.21 × 2,042.31
  4. Step 4: Simplify right side
    2,592.30x = 7,934,803.24
  5. Step 5: Solve for x
    x = 7,934,803.24/2,592.30
  6. Step 6: Final answer
    x = 3,060.91

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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.