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Finding the Fourth Proportional to 2,562.97, 3,840.03 and 2,001.23

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Solution

The fourth proportional to 2,562.97, 3,840.03 and 2,001.23 is: 2,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.97 : 3,840.03 = 2,001.23 : x
  2. Step 2: Convert to fraction form
    2,562.97/3,840.03 = 2,001.23/x
  3. Step 3: Cross multiply
    2,562.97x = 3,840.03 × 2,001.23
  4. Step 4: Simplify right side
    2,562.97x = 7,684,794.87
  5. Step 5: Solve for x
    x = 7,684,794.87/2,562.97
  6. Step 6: Final answer
    x = 2,998.40

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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.