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Finding the Fourth Proportional to 2,442.72, 3,662.76 and 1,143

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Solution

The fourth proportional to 2,442.72, 3,662.76 and 1,143 is: 1,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.72 : 3,662.76 = 1,143 : x
  2. Step 2: Convert to fraction form
    2,442.72/3,662.76 = 1,143/x
  3. Step 3: Cross multiply
    2,442.72x = 3,662.76 × 1,143
  4. Step 4: Simplify right side
    2,442.72x = 4,186,534.68
  5. Step 5: Solve for x
    x = 4,186,534.68/2,442.72
  6. Step 6: Final answer
    x = 1,713.88

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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.