Home / 1,451.70-2,177.43-411.76

Finding the Fourth Proportional to 1,451.70, 2,177.43 and 411.76

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Solution

The fourth proportional to 1,451.70, 2,177.43 and 411.76 is: 617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.70 : 2,177.43 = 411.76 : x
  2. Step 2: Convert to fraction form
    1,451.70/2,177.43 = 411.76/x
  3. Step 3: Cross multiply
    1,451.70x = 2,177.43 × 411.76
  4. Step 4: Simplify right side
    1,451.70x = 896,576.52
  5. Step 5: Solve for x
    x = 896,576.52/1,451.70
  6. Step 6: Final answer
    x = 617.61

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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.