Home / 1,524.97-2,104.55-861.78

Finding the Fourth Proportional to 1,524.97, 2,104.55 and 861.78

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Solution

The fourth proportional to 1,524.97, 2,104.55 and 861.78 is: 1,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.97 : 2,104.55 = 861.78 : x
  2. Step 2: Convert to fraction form
    1,524.97/2,104.55 = 861.78/x
  3. Step 3: Cross multiply
    1,524.97x = 2,104.55 × 861.78
  4. Step 4: Simplify right side
    1,524.97x = 1,813,661.25
  5. Step 5: Solve for x
    x = 1,813,661.25/1,524.97
  6. Step 6: Final answer
    x = 1,189.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.