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Finding the Fourth Proportional to 2,891.52, 4,334.66 and 1,042.20

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Solution

The fourth proportional to 2,891.52, 4,334.66 and 1,042.20 is: 1,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.52 : 4,334.66 = 1,042.20 : x
  2. Step 2: Convert to fraction form
    2,891.52/4,334.66 = 1,042.20/x
  3. Step 3: Cross multiply
    2,891.52x = 4,334.66 × 1,042.20
  4. Step 4: Simplify right side
    2,891.52x = 4,517,582.65
  5. Step 5: Solve for x
    x = 4,517,582.65/2,891.52
  6. Step 6: Final answer
    x = 1,562.36

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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.