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Finding the Fourth Proportional to 2,510.52, 3,764.67 and 1,340.31

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Solution

The fourth proportional to 2,510.52, 3,764.67 and 1,340.31 is: 2,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.52 : 3,764.67 = 1,340.31 : x
  2. Step 2: Convert to fraction form
    2,510.52/3,764.67 = 1,340.31/x
  3. Step 3: Cross multiply
    2,510.52x = 3,764.67 × 1,340.31
  4. Step 4: Simplify right side
    2,510.52x = 5,045,824.85
  5. Step 5: Solve for x
    x = 5,045,824.85/2,510.52
  6. Step 6: Final answer
    x = 2,009.87

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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.