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Finding the Fourth Proportional to 1,664.60, 2,499.10 and 1,335.72

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Solution

The fourth proportional to 1,664.60, 2,499.10 and 1,335.72 is: 2,005.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.60 : 2,499.10 = 1,335.72 : x
  2. Step 2: Convert to fraction form
    1,664.60/2,499.10 = 1,335.72/x
  3. Step 3: Cross multiply
    1,664.60x = 2,499.10 × 1,335.72
  4. Step 4: Simplify right side
    1,664.60x = 3,338,097.85
  5. Step 5: Solve for x
    x = 3,338,097.85/1,664.60
  6. Step 6: Final answer
    x = 2,005.35

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