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Finding the Fourth Proportional to 2,001.64, 3,002.78 and 905.96

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Solution

The fourth proportional to 2,001.64, 3,002.78 and 905.96 is: 1,359.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.64 : 3,002.78 = 905.96 : x
  2. Step 2: Convert to fraction form
    2,001.64/3,002.78 = 905.96/x
  3. Step 3: Cross multiply
    2,001.64x = 3,002.78 × 905.96
  4. Step 4: Simplify right side
    2,001.64x = 2,720,398.57
  5. Step 5: Solve for x
    x = 2,720,398.57/2,001.64
  6. Step 6: Final answer
    x = 1,359.08

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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.