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Finding the Fourth Proportional to 2,775.87, 3,831.78 and 1,892.16

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Solution

The fourth proportional to 2,775.87, 3,831.78 and 1,892.16 is: 2,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.87 : 3,831.78 = 1,892.16 : x
  2. Step 2: Convert to fraction form
    2,775.87/3,831.78 = 1,892.16/x
  3. Step 3: Cross multiply
    2,775.87x = 3,831.78 × 1,892.16
  4. Step 4: Simplify right side
    2,775.87x = 7,250,340.84
  5. Step 5: Solve for x
    x = 7,250,340.84/2,775.87
  6. Step 6: Final answer
    x = 2,611.92

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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.