Home / 1,421.68-2,132.30-381.76

Finding the Fourth Proportional to 1,421.68, 2,132.30 and 381.76

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Solution

The fourth proportional to 1,421.68, 2,132.30 and 381.76 is: 572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.68 : 2,132.30 = 381.76 : x
  2. Step 2: Convert to fraction form
    1,421.68/2,132.30 = 381.76/x
  3. Step 3: Cross multiply
    1,421.68x = 2,132.30 × 381.76
  4. Step 4: Simplify right side
    1,421.68x = 814,026.85
  5. Step 5: Solve for x
    x = 814,026.85/1,421.68
  6. Step 6: Final answer
    x = 572.58

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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.