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Finding the Fourth Proportional to 2,499.12, 3,746.16 and 1,852.74

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Solution

The fourth proportional to 2,499.12, 3,746.16 and 1,852.74 is: 2,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.12 : 3,746.16 = 1,852.74 : x
  2. Step 2: Convert to fraction form
    2,499.12/3,746.16 = 1,852.74/x
  3. Step 3: Cross multiply
    2,499.12x = 3,746.16 × 1,852.74
  4. Step 4: Simplify right side
    2,499.12x = 6,940,660.48
  5. Step 5: Solve for x
    x = 6,940,660.48/2,499.12
  6. Step 6: Final answer
    x = 2,777.24

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