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Finding the Fourth Proportional to 2,324.47, 3,207.68 and 1,276.54

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Solution

The fourth proportional to 2,324.47, 3,207.68 and 1,276.54 is: 1,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.47 : 3,207.68 = 1,276.54 : x
  2. Step 2: Convert to fraction form
    2,324.47/3,207.68 = 1,276.54/x
  3. Step 3: Cross multiply
    2,324.47x = 3,207.68 × 1,276.54
  4. Step 4: Simplify right side
    2,324.47x = 4,094,731.83
  5. Step 5: Solve for x
    x = 4,094,731.83/2,324.47
  6. Step 6: Final answer
    x = 1,761.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.