Home / 2,146.16-3,219.28-759.52

Finding the Fourth Proportional to 2,146.16, 3,219.28 and 759.52

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Solution

The fourth proportional to 2,146.16, 3,219.28 and 759.52 is: 1,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.16 : 3,219.28 = 759.52 : x
  2. Step 2: Convert to fraction form
    2,146.16/3,219.28 = 759.52/x
  3. Step 3: Cross multiply
    2,146.16x = 3,219.28 × 759.52
  4. Step 4: Simplify right side
    2,146.16x = 2,445,107.55
  5. Step 5: Solve for x
    x = 2,445,107.55/2,146.16
  6. Step 6: Final answer
    x = 1,139.29

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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.