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Finding the Fourth Proportional to 2,582.28, 3,877.07 and 1,488.78

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Solution

The fourth proportional to 2,582.28, 3,877.07 and 1,488.78 is: 2,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.28 : 3,877.07 = 1,488.78 : x
  2. Step 2: Convert to fraction form
    2,582.28/3,877.07 = 1,488.78/x
  3. Step 3: Cross multiply
    2,582.28x = 3,877.07 × 1,488.78
  4. Step 4: Simplify right side
    2,582.28x = 5,772,096.83
  5. Step 5: Solve for x
    x = 5,772,096.83/2,582.28
  6. Step 6: Final answer
    x = 2,235.27

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