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Finding the Fourth Proportional to 2,039.06, 2,813.19 and 1,252.82

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Solution

The fourth proportional to 2,039.06, 2,813.19 and 1,252.82 is: 1,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.06 : 2,813.19 = 1,252.82 : x
  2. Step 2: Convert to fraction form
    2,039.06/2,813.19 = 1,252.82/x
  3. Step 3: Cross multiply
    2,039.06x = 2,813.19 × 1,252.82
  4. Step 4: Simplify right side
    2,039.06x = 3,524,420.70
  5. Step 5: Solve for x
    x = 3,524,420.70/2,039.06
  6. Step 6: Final answer
    x = 1,728.45

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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.