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Finding the Fourth Proportional to 2,498.96, 3,749.88 and 1,460.88

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Solution

The fourth proportional to 2,498.96, 3,749.88 and 1,460.88 is: 2,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.96 : 3,749.88 = 1,460.88 : x
  2. Step 2: Convert to fraction form
    2,498.96/3,749.88 = 1,460.88/x
  3. Step 3: Cross multiply
    2,498.96x = 3,749.88 × 1,460.88
  4. Step 4: Simplify right side
    2,498.96x = 5,478,124.69
  5. Step 5: Solve for x
    x = 5,478,124.69/2,498.96
  6. Step 6: Final answer
    x = 2,192.16

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