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Finding the Fourth Proportional to 3,002.72, 4,502.01 and 1,614.66

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Solution

The fourth proportional to 3,002.72, 4,502.01 and 1,614.66 is: 2,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.72 : 4,502.01 = 1,614.66 : x
  2. Step 2: Convert to fraction form
    3,002.72/4,502.01 = 1,614.66/x
  3. Step 3: Cross multiply
    3,002.72x = 4,502.01 × 1,614.66
  4. Step 4: Simplify right side
    3,002.72x = 7,269,215.47
  5. Step 5: Solve for x
    x = 7,269,215.47/3,002.72
  6. Step 6: Final answer
    x = 2,420.88

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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.