Home / 2,098.93-3,147-1,174.58

Finding the Fourth Proportional to 2,098.93, 3,147 and 1,174.58

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Solution

The fourth proportional to 2,098.93, 3,147 and 1,174.58 is: 1,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.93 : 3,147 = 1,174.58 : x
  2. Step 2: Convert to fraction form
    2,098.93/3,147 = 1,174.58/x
  3. Step 3: Cross multiply
    2,098.93x = 3,147 × 1,174.58
  4. Step 4: Simplify right side
    2,098.93x = 3,696,403.26
  5. Step 5: Solve for x
    x = 3,696,403.26/2,098.93
  6. Step 6: Final answer
    x = 1,761.09

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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.