Home / 2,464.59-3,691-1,422.41

Finding the Fourth Proportional to 2,464.59, 3,691 and 1,422.41

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Solution

The fourth proportional to 2,464.59, 3,691 and 1,422.41 is: 2,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.59 : 3,691 = 1,422.41 : x
  2. Step 2: Convert to fraction form
    2,464.59/3,691 = 1,422.41/x
  3. Step 3: Cross multiply
    2,464.59x = 3,691 × 1,422.41
  4. Step 4: Simplify right side
    2,464.59x = 5,250,115.31
  5. Step 5: Solve for x
    x = 5,250,115.31/2,464.59
  6. Step 6: Final answer
    x = 2,130.22

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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.