Home / 1,524.07-2,103.21-825.44

Finding the Fourth Proportional to 1,524.07, 2,103.21 and 825.44

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Solution

The fourth proportional to 1,524.07, 2,103.21 and 825.44 is: 1,139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.07 : 2,103.21 = 825.44 : x
  2. Step 2: Convert to fraction form
    1,524.07/2,103.21 = 825.44/x
  3. Step 3: Cross multiply
    1,524.07x = 2,103.21 × 825.44
  4. Step 4: Simplify right side
    1,524.07x = 1,736,078.92
  5. Step 5: Solve for x
    x = 1,736,078.92/1,524.07
  6. Step 6: Final answer
    x = 1,139.11

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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.