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Finding the Fourth Proportional to 2,788.56, 4,163.13 and 2,398.68

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Solution

The fourth proportional to 2,788.56, 4,163.13 and 2,398.68 is: 3,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.56 : 4,163.13 = 2,398.68 : x
  2. Step 2: Convert to fraction form
    2,788.56/4,163.13 = 2,398.68/x
  3. Step 3: Cross multiply
    2,788.56x = 4,163.13 × 2,398.68
  4. Step 4: Simplify right side
    2,788.56x = 9,986,016.67
  5. Step 5: Solve for x
    x = 9,986,016.67/2,788.56
  6. Step 6: Final answer
    x = 3,581.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.