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Finding the Fourth Proportional to 2,099.32, 3,145.88 and 1,868.65

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Solution

The fourth proportional to 2,099.32, 3,145.88 and 1,868.65 is: 2,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.32 : 3,145.88 = 1,868.65 : x
  2. Step 2: Convert to fraction form
    2,099.32/3,145.88 = 1,868.65/x
  3. Step 3: Cross multiply
    2,099.32x = 3,145.88 × 1,868.65
  4. Step 4: Simplify right side
    2,099.32x = 5,878,545.47
  5. Step 5: Solve for x
    x = 5,878,545.47/2,099.32
  6. Step 6: Final answer
    x = 2,800.22

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