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Finding the Fourth Proportional to 1,748.41, 2,623.00 and 578.78

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Solution

The fourth proportional to 1,748.41, 2,623.00 and 578.78 is: 868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.41 : 2,623.00 = 578.78 : x
  2. Step 2: Convert to fraction form
    1,748.41/2,623.00 = 578.78/x
  3. Step 3: Cross multiply
    1,748.41x = 2,623.00 × 578.78
  4. Step 4: Simplify right side
    1,748.41x = 1,518,125.38
  5. Step 5: Solve for x
    x = 1,518,125.38/1,748.41
  6. Step 6: Final answer
    x = 868.29

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