Home / 2,282.74-3,424.21-895.95

Finding the Fourth Proportional to 2,282.74, 3,424.21 and 895.95

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Solution

The fourth proportional to 2,282.74, 3,424.21 and 895.95 is: 1,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.74 : 3,424.21 = 895.95 : x
  2. Step 2: Convert to fraction form
    2,282.74/3,424.21 = 895.95/x
  3. Step 3: Cross multiply
    2,282.74x = 3,424.21 × 895.95
  4. Step 4: Simplify right side
    2,282.74x = 3,067,920.95
  5. Step 5: Solve for x
    x = 3,067,920.95/2,282.74
  6. Step 6: Final answer
    x = 1,343.96

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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.