Home / 2,098.10-3,147.16-1,002.56

Finding the Fourth Proportional to 2,098.10, 3,147.16 and 1,002.56

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Solution

The fourth proportional to 2,098.10, 3,147.16 and 1,002.56 is: 1,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.10 : 3,147.16 = 1,002.56 : x
  2. Step 2: Convert to fraction form
    2,098.10/3,147.16 = 1,002.56/x
  3. Step 3: Cross multiply
    2,098.10x = 3,147.16 × 1,002.56
  4. Step 4: Simplify right side
    2,098.10x = 3,155,216.73
  5. Step 5: Solve for x
    x = 3,155,216.73/2,098.10
  6. Step 6: Final answer
    x = 1,503.84

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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.