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Finding the Fourth Proportional to 2,766.67, 4,153.65 and 2,572.90

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Solution

The fourth proportional to 2,766.67, 4,153.65 and 2,572.90 is: 3,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.67 : 4,153.65 = 2,572.90 : x
  2. Step 2: Convert to fraction form
    2,766.67/4,153.65 = 2,572.90/x
  3. Step 3: Cross multiply
    2,766.67x = 4,153.65 × 2,572.90
  4. Step 4: Simplify right side
    2,766.67x = 10,686,926.09
  5. Step 5: Solve for x
    x = 10,686,926.09/2,766.67
  6. Step 6: Final answer
    x = 3,862.74

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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.