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Finding the Fourth Proportional to 2,042.58, 3,064.41 and 744.15

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Solution

The fourth proportional to 2,042.58, 3,064.41 and 744.15 is: 1,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.58 : 3,064.41 = 744.15 : x
  2. Step 2: Convert to fraction form
    2,042.58/3,064.41 = 744.15/x
  3. Step 3: Cross multiply
    2,042.58x = 3,064.41 × 744.15
  4. Step 4: Simplify right side
    2,042.58x = 2,280,380.70
  5. Step 5: Solve for x
    x = 2,280,380.70/2,042.58
  6. Step 6: Final answer
    x = 1,116.42

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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.