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Finding the Fourth Proportional to 2,327.52, 3,490.58 and 683.76

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Solution

The fourth proportional to 2,327.52, 3,490.58 and 683.76 is: 1,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.52 : 3,490.58 = 683.76 : x
  2. Step 2: Convert to fraction form
    2,327.52/3,490.58 = 683.76/x
  3. Step 3: Cross multiply
    2,327.52x = 3,490.58 × 683.76
  4. Step 4: Simplify right side
    2,327.52x = 2,386,718.98
  5. Step 5: Solve for x
    x = 2,386,718.98/2,327.52
  6. Step 6: Final answer
    x = 1,025.43

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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.