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Finding the Fourth Proportional to 2,254.92, 3,112.02 and 1,323.72

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Solution

The fourth proportional to 2,254.92, 3,112.02 and 1,323.72 is: 1,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.92 : 3,112.02 = 1,323.72 : x
  2. Step 2: Convert to fraction form
    2,254.92/3,112.02 = 1,323.72/x
  3. Step 3: Cross multiply
    2,254.92x = 3,112.02 × 1,323.72
  4. Step 4: Simplify right side
    2,254.92x = 4,119,443.11
  5. Step 5: Solve for x
    x = 4,119,443.11/2,254.92
  6. Step 6: Final answer
    x = 1,826.87

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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.