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Finding the Fourth Proportional to 2,000.90, 3,001.80 and 614.30

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Solution

The fourth proportional to 2,000.90, 3,001.80 and 614.30 is: 921.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.90 : 3,001.80 = 614.30 : x
  2. Step 2: Convert to fraction form
    2,000.90/3,001.80 = 614.30/x
  3. Step 3: Cross multiply
    2,000.90x = 3,001.80 × 614.30
  4. Step 4: Simplify right side
    2,000.90x = 1,844,005.74
  5. Step 5: Solve for x
    x = 1,844,005.74/2,000.90
  6. Step 6: Final answer
    x = 921.59

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1.5x scale

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.