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Finding the Fourth Proportional to 2,144.68, 3,215.85 and 2,002.30

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Solution

The fourth proportional to 2,144.68, 3,215.85 and 2,002.30 is: 3,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.68 : 3,215.85 = 2,002.30 : x
  2. Step 2: Convert to fraction form
    2,144.68/3,215.85 = 2,002.30/x
  3. Step 3: Cross multiply
    2,144.68x = 3,215.85 × 2,002.30
  4. Step 4: Simplify right side
    2,144.68x = 6,439,096.46
  5. Step 5: Solve for x
    x = 6,439,096.46/2,144.68
  6. Step 6: Final answer
    x = 3,002.36

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