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Finding the Fourth Proportional to 2,324.48, 3,207.84 and 1,276.64

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Solution

The fourth proportional to 2,324.48, 3,207.84 and 1,276.64 is: 1,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.48 : 3,207.84 = 1,276.64 : x
  2. Step 2: Convert to fraction form
    2,324.48/3,207.84 = 1,276.64/x
  3. Step 3: Cross multiply
    2,324.48x = 3,207.84 × 1,276.64
  4. Step 4: Simplify right side
    2,324.48x = 4,095,256.86
  5. Step 5: Solve for x
    x = 4,095,256.86/2,324.48
  6. Step 6: Final answer
    x = 1,761.79

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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.