Home / 2,072.28-3,107.51-1,098.16

Finding the Fourth Proportional to 2,072.28, 3,107.51 and 1,098.16

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Solution

The fourth proportional to 2,072.28, 3,107.51 and 1,098.16 is: 1,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.28 : 3,107.51 = 1,098.16 : x
  2. Step 2: Convert to fraction form
    2,072.28/3,107.51 = 1,098.16/x
  3. Step 3: Cross multiply
    2,072.28x = 3,107.51 × 1,098.16
  4. Step 4: Simplify right side
    2,072.28x = 3,412,540.22
  5. Step 5: Solve for x
    x = 3,412,540.22/2,072.28
  6. Step 6: Final answer
    x = 1,646.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.