Home / 1,524.27-2,103.51-825.66

Finding the Fourth Proportional to 1,524.27, 2,103.51 and 825.66

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Solution

The fourth proportional to 1,524.27, 2,103.51 and 825.66 is: 1,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.27 : 2,103.51 = 825.66 : x
  2. Step 2: Convert to fraction form
    1,524.27/2,103.51 = 825.66/x
  3. Step 3: Cross multiply
    1,524.27x = 2,103.51 × 825.66
  4. Step 4: Simplify right side
    1,524.27x = 1,736,784.07
  5. Step 5: Solve for x
    x = 1,736,784.07/1,524.27
  6. Step 6: Final answer
    x = 1,139.42

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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.