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Finding the Fourth Proportional to 2,438.46, 3,660.12 and 1,658.52

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Solution

The fourth proportional to 2,438.46, 3,660.12 and 1,658.52 is: 2,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.46 : 3,660.12 = 1,658.52 : x
  2. Step 2: Convert to fraction form
    2,438.46/3,660.12 = 1,658.52/x
  3. Step 3: Cross multiply
    2,438.46x = 3,660.12 × 1,658.52
  4. Step 4: Simplify right side
    2,438.46x = 6,070,382.22
  5. Step 5: Solve for x
    x = 6,070,382.22/2,438.46
  6. Step 6: Final answer
    x = 2,489.43

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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.