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Finding the Fourth Proportional to 2,025.77, 2,796.03 and 1,240.47

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Solution

The fourth proportional to 2,025.77, 2,796.03 and 1,240.47 is: 1,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.77 : 2,796.03 = 1,240.47 : x
  2. Step 2: Convert to fraction form
    2,025.77/2,796.03 = 1,240.47/x
  3. Step 3: Cross multiply
    2,025.77x = 2,796.03 × 1,240.47
  4. Step 4: Simplify right side
    2,025.77x = 3,468,391.33
  5. Step 5: Solve for x
    x = 3,468,391.33/2,025.77
  6. Step 6: Final answer
    x = 1,712.14

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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.