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Finding the Fourth Proportional to 2,042.41, 3,060.91 and 742.63

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Solution

The fourth proportional to 2,042.41, 3,060.91 and 742.63 is: 1,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.41 : 3,060.91 = 742.63 : x
  2. Step 2: Convert to fraction form
    2,042.41/3,060.91 = 742.63/x
  3. Step 3: Cross multiply
    2,042.41x = 3,060.91 × 742.63
  4. Step 4: Simplify right side
    2,042.41x = 2,273,123.59
  5. Step 5: Solve for x
    x = 2,273,123.59/2,042.41
  6. Step 6: Final answer
    x = 1,112.96

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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.