Home / 2,098.95-3,146.13-1,057.29

Finding the Fourth Proportional to 2,098.95, 3,146.13 and 1,057.29

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Solution

The fourth proportional to 2,098.95, 3,146.13 and 1,057.29 is: 1,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.95 : 3,146.13 = 1,057.29 : x
  2. Step 2: Convert to fraction form
    2,098.95/3,146.13 = 1,057.29/x
  3. Step 3: Cross multiply
    2,098.95x = 3,146.13 × 1,057.29
  4. Step 4: Simplify right side
    2,098.95x = 3,326,371.79
  5. Step 5: Solve for x
    x = 3,326,371.79/2,098.95
  6. Step 6: Final answer
    x = 1,584.78

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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.