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Finding the Fourth Proportional to 2,358.25, 3,252.96 and 1,729.49

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Solution

The fourth proportional to 2,358.25, 3,252.96 and 1,729.49 is: 2,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.25 : 3,252.96 = 1,729.49 : x
  2. Step 2: Convert to fraction form
    2,358.25/3,252.96 = 1,729.49/x
  3. Step 3: Cross multiply
    2,358.25x = 3,252.96 × 1,729.49
  4. Step 4: Simplify right side
    2,358.25x = 5,625,945.53
  5. Step 5: Solve for x
    x = 5,625,945.53/2,358.25
  6. Step 6: Final answer
    x = 2,385.65

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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.