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Finding the Fourth Proportional to 3,163.49, 4,365.68 and 1,747.25

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Solution

The fourth proportional to 3,163.49, 4,365.68 and 1,747.25 is: 2,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.49 : 4,365.68 = 1,747.25 : x
  2. Step 2: Convert to fraction form
    3,163.49/4,365.68 = 1,747.25/x
  3. Step 3: Cross multiply
    3,163.49x = 4,365.68 × 1,747.25
  4. Step 4: Simplify right side
    3,163.49x = 7,627,925.64
  5. Step 5: Solve for x
    x = 7,627,925.64/3,163.49
  6. Step 6: Final answer
    x = 2,411.24

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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.