Home / 2,177.42-3,264.30-1,082.16

Finding the Fourth Proportional to 2,177.42, 3,264.30 and 1,082.16

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Solution

The fourth proportional to 2,177.42, 3,264.30 and 1,082.16 is: 1,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.42 : 3,264.30 = 1,082.16 : x
  2. Step 2: Convert to fraction form
    2,177.42/3,264.30 = 1,082.16/x
  3. Step 3: Cross multiply
    2,177.42x = 3,264.30 × 1,082.16
  4. Step 4: Simplify right side
    2,177.42x = 3,532,494.89
  5. Step 5: Solve for x
    x = 3,532,494.89/2,177.42
  6. Step 6: Final answer
    x = 1,622.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.