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Finding the Fourth Proportional to 2,000.85, 3,001.42 and 540.01

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Solution

The fourth proportional to 2,000.85, 3,001.42 and 540.01 is: 810.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.85 : 3,001.42 = 540.01 : x
  2. Step 2: Convert to fraction form
    2,000.85/3,001.42 = 540.01/x
  3. Step 3: Cross multiply
    2,000.85x = 3,001.42 × 540.01
  4. Step 4: Simplify right side
    2,000.85x = 1,620,801.24
  5. Step 5: Solve for x
    x = 1,620,801.24/2,000.85
  6. Step 6: Final answer
    x = 810.06

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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.