Home / 2,072.25-3,107.47-1,098.13

Finding the Fourth Proportional to 2,072.25, 3,107.47 and 1,098.13

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Solution

The fourth proportional to 2,072.25, 3,107.47 and 1,098.13 is: 1,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.25 : 3,107.47 = 1,098.13 : x
  2. Step 2: Convert to fraction form
    2,072.25/3,107.47 = 1,098.13/x
  3. Step 3: Cross multiply
    2,072.25x = 3,107.47 × 1,098.13
  4. Step 4: Simplify right side
    2,072.25x = 3,412,406.03
  5. Step 5: Solve for x
    x = 3,412,406.03/2,072.25
  6. Step 6: Final answer
    x = 1,646.72

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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.