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Finding the Fourth Proportional to 2,728.68, 3,765.08 and 1,549.52

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Solution

The fourth proportional to 2,728.68, 3,765.08 and 1,549.52 is: 2,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.68 : 3,765.08 = 1,549.52 : x
  2. Step 2: Convert to fraction form
    2,728.68/3,765.08 = 1,549.52/x
  3. Step 3: Cross multiply
    2,728.68x = 3,765.08 × 1,549.52
  4. Step 4: Simplify right side
    2,728.68x = 5,834,066.76
  5. Step 5: Solve for x
    x = 5,834,066.76/2,728.68
  6. Step 6: Final answer
    x = 2,138.05

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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.