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Finding the Fourth Proportional to 2,498.78, 3,746.84 and 1,459.10

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Solution

The fourth proportional to 2,498.78, 3,746.84 and 1,459.10 is: 2,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.78 : 3,746.84 = 1,459.10 : x
  2. Step 2: Convert to fraction form
    2,498.78/3,746.84 = 1,459.10/x
  3. Step 3: Cross multiply
    2,498.78x = 3,746.84 × 1,459.10
  4. Step 4: Simplify right side
    2,498.78x = 5,467,016.18
  5. Step 5: Solve for x
    x = 5,467,016.18/2,498.78
  6. Step 6: Final answer
    x = 2,187.87

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