Home / 2,278.46-3,143.81-1,283.38

Finding the Fourth Proportional to 2,278.46, 3,143.81 and 1,283.38

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Solution

The fourth proportional to 2,278.46, 3,143.81 and 1,283.38 is: 1,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.46 : 3,143.81 = 1,283.38 : x
  2. Step 2: Convert to fraction form
    2,278.46/3,143.81 = 1,283.38/x
  3. Step 3: Cross multiply
    2,278.46x = 3,143.81 × 1,283.38
  4. Step 4: Simplify right side
    2,278.46x = 4,034,698.23
  5. Step 5: Solve for x
    x = 4,034,698.23/2,278.46
  6. Step 6: Final answer
    x = 1,770.80

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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.