Home / 1,462.92-2,189.34-1,402.44

Finding the Fourth Proportional to 1,462.92, 2,189.34 and 1,402.44

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Solution

The fourth proportional to 1,462.92, 2,189.34 and 1,402.44 is: 2,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.92 : 2,189.34 = 1,402.44 : x
  2. Step 2: Convert to fraction form
    1,462.92/2,189.34 = 1,402.44/x
  3. Step 3: Cross multiply
    1,462.92x = 2,189.34 × 1,402.44
  4. Step 4: Simplify right side
    1,462.92x = 3,070,417.99
  5. Step 5: Solve for x
    x = 3,070,417.99/1,462.92
  6. Step 6: Final answer
    x = 2,098.83

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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.