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Finding the Fourth Proportional to 1,870.79, 2,804.36 and 1,664.24

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Solution

The fourth proportional to 1,870.79, 2,804.36 and 1,664.24 is: 2,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.79 : 2,804.36 = 1,664.24 : x
  2. Step 2: Convert to fraction form
    1,870.79/2,804.36 = 1,664.24/x
  3. Step 3: Cross multiply
    1,870.79x = 2,804.36 × 1,664.24
  4. Step 4: Simplify right side
    1,870.79x = 4,667,105.74
  5. Step 5: Solve for x
    x = 4,667,105.74/1,870.79
  6. Step 6: Final answer
    x = 2,494.73

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