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Finding the Fourth Proportional to 2,001.17, 3,002.40 and 905.24

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Solution

The fourth proportional to 2,001.17, 3,002.40 and 905.24 is: 1,358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.17 : 3,002.40 = 905.24 : x
  2. Step 2: Convert to fraction form
    2,001.17/3,002.40 = 905.24/x
  3. Step 3: Cross multiply
    2,001.17x = 3,002.40 × 905.24
  4. Step 4: Simplify right side
    2,001.17x = 2,717,900.08
  5. Step 5: Solve for x
    x = 2,717,900.08/2,001.17
  6. Step 6: Final answer
    x = 1,358.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.