Home / 1,982.16-2,735.54-1,098.05

Finding the Fourth Proportional to 1,982.16, 2,735.54 and 1,098.05

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Solution

The fourth proportional to 1,982.16, 2,735.54 and 1,098.05 is: 1,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.16 : 2,735.54 = 1,098.05 : x
  2. Step 2: Convert to fraction form
    1,982.16/2,735.54 = 1,098.05/x
  3. Step 3: Cross multiply
    1,982.16x = 2,735.54 × 1,098.05
  4. Step 4: Simplify right side
    1,982.16x = 3,003,740.53
  5. Step 5: Solve for x
    x = 3,003,740.53/1,982.16
  6. Step 6: Final answer
    x = 1,515.39

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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.