Home / 2,282.60-3,424.17-896.06

Finding the Fourth Proportional to 2,282.60, 3,424.17 and 896.06

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Solution

The fourth proportional to 2,282.60, 3,424.17 and 896.06 is: 1,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.60 : 3,424.17 = 896.06 : x
  2. Step 2: Convert to fraction form
    2,282.60/3,424.17 = 896.06/x
  3. Step 3: Cross multiply
    2,282.60x = 3,424.17 × 896.06
  4. Step 4: Simplify right side
    2,282.60x = 3,068,261.77
  5. Step 5: Solve for x
    x = 3,068,261.77/2,282.60
  6. Step 6: Final answer
    x = 1,344.20

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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.