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Finding the Fourth Proportional to 2,752.92, 3,798.16 and 1,634.24

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Solution

The fourth proportional to 2,752.92, 3,798.16 and 1,634.24 is: 2,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.92 : 3,798.16 = 1,634.24 : x
  2. Step 2: Convert to fraction form
    2,752.92/3,798.16 = 1,634.24/x
  3. Step 3: Cross multiply
    2,752.92x = 3,798.16 × 1,634.24
  4. Step 4: Simplify right side
    2,752.92x = 6,207,105.00
  5. Step 5: Solve for x
    x = 6,207,105.00/2,752.92
  6. Step 6: Final answer
    x = 2,254.73

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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.