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Finding the Fourth Proportional to 2,001.44, 3,002.16 and 540.71

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Solution

The fourth proportional to 2,001.44, 3,002.16 and 540.71 is: 811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.44 : 3,002.16 = 540.71 : x
  2. Step 2: Convert to fraction form
    2,001.44/3,002.16 = 540.71/x
  3. Step 3: Cross multiply
    2,001.44x = 3,002.16 × 540.71
  4. Step 4: Simplify right side
    2,001.44x = 1,623,296.21
  5. Step 5: Solve for x
    x = 1,623,296.21/2,001.44
  6. Step 6: Final answer
    x = 811.06

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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.