Home / 2,577.24-3,862.64-1,188.65

Finding the Fourth Proportional to 2,577.24, 3,862.64 and 1,188.65

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Solution

The fourth proportional to 2,577.24, 3,862.64 and 1,188.65 is: 1,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.24 : 3,862.64 = 1,188.65 : x
  2. Step 2: Convert to fraction form
    2,577.24/3,862.64 = 1,188.65/x
  3. Step 3: Cross multiply
    2,577.24x = 3,862.64 × 1,188.65
  4. Step 4: Simplify right side
    2,577.24x = 4,591,322.11
  5. Step 5: Solve for x
    x = 4,591,322.11/2,577.24
  6. Step 6: Final answer
    x = 1,781.49

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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.