Home / 1,432.06-1,976.31-1,082.14

Finding the Fourth Proportional to 1,432.06, 1,976.31 and 1,082.14

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Solution

The fourth proportional to 1,432.06, 1,976.31 and 1,082.14 is: 1,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.06 : 1,976.31 = 1,082.14 : x
  2. Step 2: Convert to fraction form
    1,432.06/1,976.31 = 1,082.14/x
  3. Step 3: Cross multiply
    1,432.06x = 1,976.31 × 1,082.14
  4. Step 4: Simplify right side
    1,432.06x = 2,138,644.10
  5. Step 5: Solve for x
    x = 2,138,644.10/1,432.06
  6. Step 6: Final answer
    x = 1,493.40

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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.