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Finding the Fourth Proportional to 2,002.14, 3,002.13 and 615.06

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Solution

The fourth proportional to 2,002.14, 3,002.13 and 615.06 is: 922.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.14 : 3,002.13 = 615.06 : x
  2. Step 2: Convert to fraction form
    2,002.14/3,002.13 = 615.06/x
  3. Step 3: Cross multiply
    2,002.14x = 3,002.13 × 615.06
  4. Step 4: Simplify right side
    2,002.14x = 1,846,490.08
  5. Step 5: Solve for x
    x = 1,846,490.08/2,002.14
  6. Step 6: Final answer
    x = 922.26

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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.