Home / 1,524.88-2,104.33-826.25

Finding the Fourth Proportional to 1,524.88, 2,104.33 and 826.25

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Solution

The fourth proportional to 1,524.88, 2,104.33 and 826.25 is: 1,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.88 : 2,104.33 = 826.25 : x
  2. Step 2: Convert to fraction form
    1,524.88/2,104.33 = 826.25/x
  3. Step 3: Cross multiply
    1,524.88x = 2,104.33 × 826.25
  4. Step 4: Simplify right side
    1,524.88x = 1,738,702.66
  5. Step 5: Solve for x
    x = 1,738,702.66/1,524.88
  6. Step 6: Final answer
    x = 1,140.23

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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.