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Finding the Fourth Proportional to 2,293.18, 3,163.89 and 1,408.42

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Solution

The fourth proportional to 2,293.18, 3,163.89 and 1,408.42 is: 1,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.18 : 3,163.89 = 1,408.42 : x
  2. Step 2: Convert to fraction form
    2,293.18/3,163.89 = 1,408.42/x
  3. Step 3: Cross multiply
    2,293.18x = 3,163.89 × 1,408.42
  4. Step 4: Simplify right side
    2,293.18x = 4,456,085.95
  5. Step 5: Solve for x
    x = 4,456,085.95/2,293.18
  6. Step 6: Final answer
    x = 1,943.19

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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.