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Finding the Fourth Proportional to 2,489.02, 3,428.95 and 1,741.66

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Solution

The fourth proportional to 2,489.02, 3,428.95 and 1,741.66 is: 2,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.02 : 3,428.95 = 1,741.66 : x
  2. Step 2: Convert to fraction form
    2,489.02/3,428.95 = 1,741.66/x
  3. Step 3: Cross multiply
    2,489.02x = 3,428.95 × 1,741.66
  4. Step 4: Simplify right side
    2,489.02x = 5,972,065.06
  5. Step 5: Solve for x
    x = 5,972,065.06/2,489.02
  6. Step 6: Final answer
    x = 2,399.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.