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Finding the Fourth Proportional to 2,782.59, 4,169.71 and 2,577.55

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Solution

The fourth proportional to 2,782.59, 4,169.71 and 2,577.55 is: 3,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.59 : 4,169.71 = 2,577.55 : x
  2. Step 2: Convert to fraction form
    2,782.59/4,169.71 = 2,577.55/x
  3. Step 3: Cross multiply
    2,782.59x = 4,169.71 × 2,577.55
  4. Step 4: Simplify right side
    2,782.59x = 10,747,636.01
  5. Step 5: Solve for x
    x = 10,747,636.01/2,782.59
  6. Step 6: Final answer
    x = 3,862.46

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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.