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Finding the Fourth Proportional to 2,324.54, 3,489.24 and 1,708.94

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Solution

The fourth proportional to 2,324.54, 3,489.24 and 1,708.94 is: 2,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.54 : 3,489.24 = 1,708.94 : x
  2. Step 2: Convert to fraction form
    2,324.54/3,489.24 = 1,708.94/x
  3. Step 3: Cross multiply
    2,324.54x = 3,489.24 × 1,708.94
  4. Step 4: Simplify right side
    2,324.54x = 5,962,901.81
  5. Step 5: Solve for x
    x = 5,962,901.81/2,324.54
  6. Step 6: Final answer
    x = 2,565.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.