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Finding the Fourth Proportional to 2,438, 3,658.68 and 2,113.04

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Solution

The fourth proportional to 2,438, 3,658.68 and 2,113.04 is: 3,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438 : 3,658.68 = 2,113.04 : x
  2. Step 2: Convert to fraction form
    2,438/3,658.68 = 2,113.04/x
  3. Step 3: Cross multiply
    2,438x = 3,658.68 × 2,113.04
  4. Step 4: Simplify right side
    2,438x = 7,730,937.19
  5. Step 5: Solve for x
    x = 7,730,937.19/2,438
  6. Step 6: Final answer
    x = 3,171.02

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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.