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Finding the Fourth Proportional to 2,641.68, 3,966.63 and 2,524.80

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Solution

The fourth proportional to 2,641.68, 3,966.63 and 2,524.80 is: 3,791.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.68 : 3,966.63 = 2,524.80 : x
  2. Step 2: Convert to fraction form
    2,641.68/3,966.63 = 2,524.80/x
  3. Step 3: Cross multiply
    2,641.68x = 3,966.63 × 2,524.80
  4. Step 4: Simplify right side
    2,641.68x = 10,014,947.42
  5. Step 5: Solve for x
    x = 10,014,947.42/2,641.68
  6. Step 6: Final answer
    x = 3,791.13

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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.