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Finding the Fourth Proportional to 2,728.47, 3,765.40 and 1,549.65

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Solution

The fourth proportional to 2,728.47, 3,765.40 and 1,549.65 is: 2,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.47 : 3,765.40 = 1,549.65 : x
  2. Step 2: Convert to fraction form
    2,728.47/3,765.40 = 1,549.65/x
  3. Step 3: Cross multiply
    2,728.47x = 3,765.40 × 1,549.65
  4. Step 4: Simplify right side
    2,728.47x = 5,835,052.11
  5. Step 5: Solve for x
    x = 5,835,052.11/2,728.47
  6. Step 6: Final answer
    x = 2,138.58

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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.