Home / 2,098.11-3,147.50-711.53

Finding the Fourth Proportional to 2,098.11, 3,147.50 and 711.53

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Solution

The fourth proportional to 2,098.11, 3,147.50 and 711.53 is: 1,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.11 : 3,147.50 = 711.53 : x
  2. Step 2: Convert to fraction form
    2,098.11/3,147.50 = 711.53/x
  3. Step 3: Cross multiply
    2,098.11x = 3,147.50 × 711.53
  4. Step 4: Simplify right side
    2,098.11x = 2,239,521.38
  5. Step 5: Solve for x
    x = 2,239,521.38/2,098.11
  6. Step 6: Final answer
    x = 1,067.40

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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.