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Finding the Fourth Proportional to 2,527.97, 3,790.67 and 1,488.29

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Solution

The fourth proportional to 2,527.97, 3,790.67 and 1,488.29 is: 2,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.97 : 3,790.67 = 1,488.29 : x
  2. Step 2: Convert to fraction form
    2,527.97/3,790.67 = 1,488.29/x
  3. Step 3: Cross multiply
    2,527.97x = 3,790.67 × 1,488.29
  4. Step 4: Simplify right side
    2,527.97x = 5,641,589.86
  5. Step 5: Solve for x
    x = 5,641,589.86/2,527.97
  6. Step 6: Final answer
    x = 2,231.67

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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.