Home / 2,072.51-3,109.68-1,098.38

Finding the Fourth Proportional to 2,072.51, 3,109.68 and 1,098.38

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Solution

The fourth proportional to 2,072.51, 3,109.68 and 1,098.38 is: 1,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.51 : 3,109.68 = 1,098.38 : x
  2. Step 2: Convert to fraction form
    2,072.51/3,109.68 = 1,098.38/x
  3. Step 3: Cross multiply
    2,072.51x = 3,109.68 × 1,098.38
  4. Step 4: Simplify right side
    2,072.51x = 3,415,594.77
  5. Step 5: Solve for x
    x = 3,415,594.77/2,072.51
  6. Step 6: Final answer
    x = 1,648.05

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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.