Home / 1,649.38-2,462.28-1,591.70

Finding the Fourth Proportional to 1,649.38, 2,462.28 and 1,591.70

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Solution

The fourth proportional to 1,649.38, 2,462.28 and 1,591.70 is: 2,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.38 : 2,462.28 = 1,591.70 : x
  2. Step 2: Convert to fraction form
    1,649.38/2,462.28 = 1,591.70/x
  3. Step 3: Cross multiply
    1,649.38x = 2,462.28 × 1,591.70
  4. Step 4: Simplify right side
    1,649.38x = 3,919,198.76
  5. Step 5: Solve for x
    x = 3,919,198.76/1,649.38
  6. Step 6: Final answer
    x = 2,376.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.