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Finding the Fourth Proportional to 2,674.57, 4,013.52 and 1,288.05

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Solution

The fourth proportional to 2,674.57, 4,013.52 and 1,288.05 is: 1,932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.57 : 4,013.52 = 1,288.05 : x
  2. Step 2: Convert to fraction form
    2,674.57/4,013.52 = 1,288.05/x
  3. Step 3: Cross multiply
    2,674.57x = 4,013.52 × 1,288.05
  4. Step 4: Simplify right side
    2,674.57x = 5,169,587.93
  5. Step 5: Solve for x
    x = 5,169,587.93/2,674.57
  6. Step 6: Final answer
    x = 1,932.87

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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.