Home / 1,982.90-2,736.45-1,098.78

Finding the Fourth Proportional to 1,982.90, 2,736.45 and 1,098.78

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Solution

The fourth proportional to 1,982.90, 2,736.45 and 1,098.78 is: 1,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.90 : 2,736.45 = 1,098.78 : x
  2. Step 2: Convert to fraction form
    1,982.90/2,736.45 = 1,098.78/x
  3. Step 3: Cross multiply
    1,982.90x = 2,736.45 × 1,098.78
  4. Step 4: Simplify right side
    1,982.90x = 3,006,756.53
  5. Step 5: Solve for x
    x = 3,006,756.53/1,982.90
  6. Step 6: Final answer
    x = 1,516.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.