Home / 2,276-3,414.36-1,180.16

Finding the Fourth Proportional to 2,276, 3,414.36 and 1,180.16

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Solution

The fourth proportional to 2,276, 3,414.36 and 1,180.16 is: 1,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276 : 3,414.36 = 1,180.16 : x
  2. Step 2: Convert to fraction form
    2,276/3,414.36 = 1,180.16/x
  3. Step 3: Cross multiply
    2,276x = 3,414.36 × 1,180.16
  4. Step 4: Simplify right side
    2,276x = 4,029,491.10
  5. Step 5: Solve for x
    x = 4,029,491.10/2,276
  6. Step 6: Final answer
    x = 1,770.43

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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.