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Finding the Fourth Proportional to 4,527.60, 6,791.48 and 1,449.60

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Solution

The fourth proportional to 4,527.60, 6,791.48 and 1,449.60 is: 2,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.60 : 6,791.48 = 1,449.60 : x
  2. Step 2: Convert to fraction form
    4,527.60/6,791.48 = 1,449.60/x
  3. Step 3: Cross multiply
    4,527.60x = 6,791.48 × 1,449.60
  4. Step 4: Simplify right side
    4,527.60x = 9,844,929.41
  5. Step 5: Solve for x
    x = 9,844,929.41/4,527.60
  6. Step 6: Final answer
    x = 2,174.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.