Home / 2,281.41-3,422.31-1,032.78

Finding the Fourth Proportional to 2,281.41, 3,422.31 and 1,032.78

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Solution

The fourth proportional to 2,281.41, 3,422.31 and 1,032.78 is: 1,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.41 : 3,422.31 = 1,032.78 : x
  2. Step 2: Convert to fraction form
    2,281.41/3,422.31 = 1,032.78/x
  3. Step 3: Cross multiply
    2,281.41x = 3,422.31 × 1,032.78
  4. Step 4: Simplify right side
    2,281.41x = 3,534,493.32
  5. Step 5: Solve for x
    x = 3,534,493.32/2,281.41
  6. Step 6: Final answer
    x = 1,549.26

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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.