Home / 2,024.82-3,030.96-1,098.09

Finding the Fourth Proportional to 2,024.82, 3,030.96 and 1,098.09

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Solution

The fourth proportional to 2,024.82, 3,030.96 and 1,098.09 is: 1,643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.82 : 3,030.96 = 1,098.09 : x
  2. Step 2: Convert to fraction form
    2,024.82/3,030.96 = 1,098.09/x
  3. Step 3: Cross multiply
    2,024.82x = 3,030.96 × 1,098.09
  4. Step 4: Simplify right side
    2,024.82x = 3,328,266.87
  5. Step 5: Solve for x
    x = 3,328,266.87/2,024.82
  6. Step 6: Final answer
    x = 1,643.73

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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.