Home / 1,524.11-2,103.27-825.49

Finding the Fourth Proportional to 1,524.11, 2,103.27 and 825.49

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Solution

The fourth proportional to 1,524.11, 2,103.27 and 825.49 is: 1,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.11 : 2,103.27 = 825.49 : x
  2. Step 2: Convert to fraction form
    1,524.11/2,103.27 = 825.49/x
  3. Step 3: Cross multiply
    1,524.11x = 2,103.27 × 825.49
  4. Step 4: Simplify right side
    1,524.11x = 1,736,217.84
  5. Step 5: Solve for x
    x = 1,736,217.84/1,524.11
  6. Step 6: Final answer
    x = 1,139.17

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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.