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Finding the Fourth Proportional to 2,641.05, 3,957.93 and 2,562.21

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Solution

The fourth proportional to 2,641.05, 3,957.93 and 2,562.21 is: 3,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.05 : 3,957.93 = 2,562.21 : x
  2. Step 2: Convert to fraction form
    2,641.05/3,957.93 = 2,562.21/x
  3. Step 3: Cross multiply
    2,641.05x = 3,957.93 × 2,562.21
  4. Step 4: Simplify right side
    2,641.05x = 10,141,047.83
  5. Step 5: Solve for x
    x = 10,141,047.83/2,641.05
  6. Step 6: Final answer
    x = 3,839.78

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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.