Home / 1,524.92-2,102.24-1,082.66

Finding the Fourth Proportional to 1,524.92, 2,102.24 and 1,082.66

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Solution

The fourth proportional to 1,524.92, 2,102.24 and 1,082.66 is: 1,492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.92 : 2,102.24 = 1,082.66 : x
  2. Step 2: Convert to fraction form
    1,524.92/2,102.24 = 1,082.66/x
  3. Step 3: Cross multiply
    1,524.92x = 2,102.24 × 1,082.66
  4. Step 4: Simplify right side
    1,524.92x = 2,276,005.75
  5. Step 5: Solve for x
    x = 2,276,005.75/1,524.92
  6. Step 6: Final answer
    x = 1,492.54

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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.