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Finding the Fourth Proportional to 2,549.86, 3,824.78 and 1,454.74

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Solution

The fourth proportional to 2,549.86, 3,824.78 and 1,454.74 is: 2,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.86 : 3,824.78 = 1,454.74 : x
  2. Step 2: Convert to fraction form
    2,549.86/3,824.78 = 1,454.74/x
  3. Step 3: Cross multiply
    2,549.86x = 3,824.78 × 1,454.74
  4. Step 4: Simplify right side
    2,549.86x = 5,564,060.46
  5. Step 5: Solve for x
    x = 5,564,060.46/2,549.86
  6. Step 6: Final answer
    x = 2,182.10

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