Home / 1,524.75-2,104.16-826.13

Finding the Fourth Proportional to 1,524.75, 2,104.16 and 826.13

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Solution

The fourth proportional to 1,524.75, 2,104.16 and 826.13 is: 1,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.75 : 2,104.16 = 826.13 : x
  2. Step 2: Convert to fraction form
    1,524.75/2,104.16 = 826.13/x
  3. Step 3: Cross multiply
    1,524.75x = 2,104.16 × 826.13
  4. Step 4: Simplify right side
    1,524.75x = 1,738,295.05
  5. Step 5: Solve for x
    x = 1,738,295.05/1,524.75
  6. Step 6: Final answer
    x = 1,140.05

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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.