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Finding the Fourth Proportional to 2,048.46, 2,826.17 and 1,251.57

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Solution

The fourth proportional to 2,048.46, 2,826.17 and 1,251.57 is: 1,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.46 : 2,826.17 = 1,251.57 : x
  2. Step 2: Convert to fraction form
    2,048.46/2,826.17 = 1,251.57/x
  3. Step 3: Cross multiply
    2,048.46x = 2,826.17 × 1,251.57
  4. Step 4: Simplify right side
    2,048.46x = 3,537,143.33
  5. Step 5: Solve for x
    x = 3,537,143.33/2,048.46
  6. Step 6: Final answer
    x = 1,726.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.