Home / 3,102.31-4,649.36-2,276.71

Finding the Fourth Proportional to 3,102.31, 4,649.36 and 2,276.71

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Solution

The fourth proportional to 3,102.31, 4,649.36 and 2,276.71 is: 3,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.31 : 4,649.36 = 2,276.71 : x
  2. Step 2: Convert to fraction form
    3,102.31/4,649.36 = 2,276.71/x
  3. Step 3: Cross multiply
    3,102.31x = 4,649.36 × 2,276.71
  4. Step 4: Simplify right side
    3,102.31x = 10,585,244.41
  5. Step 5: Solve for x
    x = 10,585,244.41/3,102.31
  6. Step 6: Final answer
    x = 3,412.05

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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.