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Finding the Fourth Proportional to 2,042.40, 3,061.80 and 743.62

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Solution

The fourth proportional to 2,042.40, 3,061.80 and 743.62 is: 1,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.40 : 3,061.80 = 743.62 : x
  2. Step 2: Convert to fraction form
    2,042.40/3,061.80 = 743.62/x
  3. Step 3: Cross multiply
    2,042.40x = 3,061.80 × 743.62
  4. Step 4: Simplify right side
    2,042.40x = 2,276,815.72
  5. Step 5: Solve for x
    x = 2,276,815.72/2,042.40
  6. Step 6: Final answer
    x = 1,114.77

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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.