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Finding the Fourth Proportional to 1,915.80, 2,871.32 and 1,038.78

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Solution

The fourth proportional to 1,915.80, 2,871.32 and 1,038.78 is: 1,556.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.80 : 2,871.32 = 1,038.78 : x
  2. Step 2: Convert to fraction form
    1,915.80/2,871.32 = 1,038.78/x
  3. Step 3: Cross multiply
    1,915.80x = 2,871.32 × 1,038.78
  4. Step 4: Simplify right side
    1,915.80x = 2,982,669.79
  5. Step 5: Solve for x
    x = 2,982,669.79/1,915.80
  6. Step 6: Final answer
    x = 1,556.88

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