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Finding the Fourth Proportional to 2,300.49, 3,174.68 and 1,252.55

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Solution

The fourth proportional to 2,300.49, 3,174.68 and 1,252.55 is: 1,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.49 : 3,174.68 = 1,252.55 : x
  2. Step 2: Convert to fraction form
    2,300.49/3,174.68 = 1,252.55/x
  3. Step 3: Cross multiply
    2,300.49x = 3,174.68 × 1,252.55
  4. Step 4: Simplify right side
    2,300.49x = 3,976,456.50
  5. Step 5: Solve for x
    x = 3,976,456.50/2,300.49
  6. Step 6: Final answer
    x = 1,728.53

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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.