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Finding the Fourth Proportional to 2,527.66, 3,791.34 and 1,140.64

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Solution

The fourth proportional to 2,527.66, 3,791.34 and 1,140.64 is: 1,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.66 : 3,791.34 = 1,140.64 : x
  2. Step 2: Convert to fraction form
    2,527.66/3,791.34 = 1,140.64/x
  3. Step 3: Cross multiply
    2,527.66x = 3,791.34 × 1,140.64
  4. Step 4: Simplify right side
    2,527.66x = 4,324,554.06
  5. Step 5: Solve for x
    x = 4,324,554.06/2,527.66
  6. Step 6: Final answer
    x = 1,710.89

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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.