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Finding the Fourth Proportional to 2,042.61, 3,061.81 and 792.88

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Solution

The fourth proportional to 2,042.61, 3,061.81 and 792.88 is: 1,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.61 : 3,061.81 = 792.88 : x
  2. Step 2: Convert to fraction form
    2,042.61/3,061.81 = 792.88/x
  3. Step 3: Cross multiply
    2,042.61x = 3,061.81 × 792.88
  4. Step 4: Simplify right side
    2,042.61x = 2,427,638.28
  5. Step 5: Solve for x
    x = 2,427,638.28/2,042.61
  6. Step 6: Final answer
    x = 1,188.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.