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Finding the Fourth Proportional to 2,527.72, 3,791.58 and 1,065.88

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Solution

The fourth proportional to 2,527.72, 3,791.58 and 1,065.88 is: 1,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.72 : 3,791.58 = 1,065.88 : x
  2. Step 2: Convert to fraction form
    2,527.72/3,791.58 = 1,065.88/x
  3. Step 3: Cross multiply
    2,527.72x = 3,791.58 × 1,065.88
  4. Step 4: Simplify right side
    2,527.72x = 4,041,369.29
  5. Step 5: Solve for x
    x = 4,041,369.29/2,527.72
  6. Step 6: Final answer
    x = 1,598.82

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Why These Related Problems?

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