Home / 1,412.28-2,117.70-827.41

Finding the Fourth Proportional to 1,412.28, 2,117.70 and 827.41

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Solution

The fourth proportional to 1,412.28, 2,117.70 and 827.41 is: 1,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.28 : 2,117.70 = 827.41 : x
  2. Step 2: Convert to fraction form
    1,412.28/2,117.70 = 827.41/x
  3. Step 3: Cross multiply
    1,412.28x = 2,117.70 × 827.41
  4. Step 4: Simplify right side
    1,412.28x = 1,752,206.16
  5. Step 5: Solve for x
    x = 1,752,206.16/1,412.28
  6. Step 6: Final answer
    x = 1,240.69

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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.