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Finding the Fourth Proportional to 2,442.52, 3,663.76 and 1,143.08

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Solution

The fourth proportional to 2,442.52, 3,663.76 and 1,143.08 is: 1,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.52 : 3,663.76 = 1,143.08 : x
  2. Step 2: Convert to fraction form
    2,442.52/3,663.76 = 1,143.08/x
  3. Step 3: Cross multiply
    2,442.52x = 3,663.76 × 1,143.08
  4. Step 4: Simplify right side
    2,442.52x = 4,187,970.78
  5. Step 5: Solve for x
    x = 4,187,970.78/2,442.52
  6. Step 6: Final answer
    x = 1,714.61

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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.