Home / 1,524.24-2,103.42-861.20

Finding the Fourth Proportional to 1,524.24, 2,103.42 and 861.20

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Solution

The fourth proportional to 1,524.24, 2,103.42 and 861.20 is: 1,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.24 : 2,103.42 = 861.20 : x
  2. Step 2: Convert to fraction form
    1,524.24/2,103.42 = 861.20/x
  3. Step 3: Cross multiply
    1,524.24x = 2,103.42 × 861.20
  4. Step 4: Simplify right side
    1,524.24x = 1,811,465.30
  5. Step 5: Solve for x
    x = 1,811,465.30/1,524.24
  6. Step 6: Final answer
    x = 1,188.44

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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.