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Finding the Fourth Proportional to 2,498.64, 3,746.80 and 1,458.95

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Solution

The fourth proportional to 2,498.64, 3,746.80 and 1,458.95 is: 2,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.64 : 3,746.80 = 1,458.95 : x
  2. Step 2: Convert to fraction form
    2,498.64/3,746.80 = 1,458.95/x
  3. Step 3: Cross multiply
    2,498.64x = 3,746.80 × 1,458.95
  4. Step 4: Simplify right side
    2,498.64x = 5,466,393.86
  5. Step 5: Solve for x
    x = 5,466,393.86/2,498.64
  6. Step 6: Final answer
    x = 2,187.75

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