Home / 2,577.60-3,862.26-2,509.25

Finding the Fourth Proportional to 2,577.60, 3,862.26 and 2,509.25

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Solution

The fourth proportional to 2,577.60, 3,862.26 and 2,509.25 is: 3,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.60 : 3,862.26 = 2,509.25 : x
  2. Step 2: Convert to fraction form
    2,577.60/3,862.26 = 2,509.25/x
  3. Step 3: Cross multiply
    2,577.60x = 3,862.26 × 2,509.25
  4. Step 4: Simplify right side
    2,577.60x = 9,691,356.59
  5. Step 5: Solve for x
    x = 9,691,356.59/2,577.60
  6. Step 6: Final answer
    x = 3,759.84

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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.