Home / 2,741.31-4,114.10-1,098.95

Finding the Fourth Proportional to 2,741.31, 4,114.10 and 1,098.95

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Solution

The fourth proportional to 2,741.31, 4,114.10 and 1,098.95 is: 1,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.31 : 4,114.10 = 1,098.95 : x
  2. Step 2: Convert to fraction form
    2,741.31/4,114.10 = 1,098.95/x
  3. Step 3: Cross multiply
    2,741.31x = 4,114.10 × 1,098.95
  4. Step 4: Simplify right side
    2,741.31x = 4,521,164.13
  5. Step 5: Solve for x
    x = 4,521,164.13/2,741.31
  6. Step 6: Final answer
    x = 1,649.27

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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.