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Finding the Fourth Proportional to 2,002.17, 3,003.54 and 615.30

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Solution

The fourth proportional to 2,002.17, 3,003.54 and 615.30 is: 923.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.17 : 3,003.54 = 615.30 : x
  2. Step 2: Convert to fraction form
    2,002.17/3,003.54 = 615.30/x
  3. Step 3: Cross multiply
    2,002.17x = 3,003.54 × 615.30
  4. Step 4: Simplify right side
    2,002.17x = 1,848,078.16
  5. Step 5: Solve for x
    x = 1,848,078.16/2,002.17
  6. Step 6: Final answer
    x = 923.04

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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.