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Finding the Fourth Proportional to 1,664.24, 2,494.96 and 1,114.76

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Solution

The fourth proportional to 1,664.24, 2,494.96 and 1,114.76 is: 1,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.24 : 2,494.96 = 1,114.76 : x
  2. Step 2: Convert to fraction form
    1,664.24/2,494.96 = 1,114.76/x
  3. Step 3: Cross multiply
    1,664.24x = 2,494.96 × 1,114.76
  4. Step 4: Simplify right side
    1,664.24x = 2,781,281.61
  5. Step 5: Solve for x
    x = 2,781,281.61/1,664.24
  6. Step 6: Final answer
    x = 1,671.20

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