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Finding the Fourth Proportional to 1,869.76, 2,811.96 and 1,578.16

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Solution

The fourth proportional to 1,869.76, 2,811.96 and 1,578.16 is: 2,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.76 : 2,811.96 = 1,578.16 : x
  2. Step 2: Convert to fraction form
    1,869.76/2,811.96 = 1,578.16/x
  3. Step 3: Cross multiply
    1,869.76x = 2,811.96 × 1,578.16
  4. Step 4: Simplify right side
    1,869.76x = 4,437,722.79
  5. Step 5: Solve for x
    x = 4,437,722.79/1,869.76
  6. Step 6: Final answer
    x = 2,373.42

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