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Finding the Fourth Proportional to 2,000.60, 3,001.02 and 614.02

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Solution

The fourth proportional to 2,000.60, 3,001.02 and 614.02 is: 921.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.60 : 3,001.02 = 614.02 : x
  2. Step 2: Convert to fraction form
    2,000.60/3,001.02 = 614.02/x
  3. Step 3: Cross multiply
    2,000.60x = 3,001.02 × 614.02
  4. Step 4: Simplify right side
    2,000.60x = 1,842,686.30
  5. Step 5: Solve for x
    x = 1,842,686.30/2,000.60
  6. Step 6: Final answer
    x = 921.07

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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.