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Finding the Fourth Proportional to 2,773.98, 3,831.42 and 2,026.74

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Solution

The fourth proportional to 2,773.98, 3,831.42 and 2,026.74 is: 2,799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.98 : 3,831.42 = 2,026.74 : x
  2. Step 2: Convert to fraction form
    2,773.98/3,831.42 = 2,026.74/x
  3. Step 3: Cross multiply
    2,773.98x = 3,831.42 × 2,026.74
  4. Step 4: Simplify right side
    2,773.98x = 7,765,292.17
  5. Step 5: Solve for x
    x = 7,765,292.17/2,773.98
  6. Step 6: Final answer
    x = 2,799.33

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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.