Home / 1,421.42-2,132.15-726.12

Finding the Fourth Proportional to 1,421.42, 2,132.15 and 726.12

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Solution

The fourth proportional to 1,421.42, 2,132.15 and 726.12 is: 1,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.42 : 2,132.15 = 726.12 : x
  2. Step 2: Convert to fraction form
    1,421.42/2,132.15 = 726.12/x
  3. Step 3: Cross multiply
    1,421.42x = 2,132.15 × 726.12
  4. Step 4: Simplify right side
    1,421.42x = 1,548,193.13
  5. Step 5: Solve for x
    x = 1,548,193.13/1,421.42
  6. Step 6: Final answer
    x = 1,089.19

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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.