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Finding the Fourth Proportional to 1,738.40, 2,604.90 and 1,506.20

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Solution

The fourth proportional to 1,738.40, 2,604.90 and 1,506.20 is: 2,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.40 : 2,604.90 = 1,506.20 : x
  2. Step 2: Convert to fraction form
    1,738.40/2,604.90 = 1,506.20/x
  3. Step 3: Cross multiply
    1,738.40x = 2,604.90 × 1,506.20
  4. Step 4: Simplify right side
    1,738.40x = 3,923,500.38
  5. Step 5: Solve for x
    x = 3,923,500.38/1,738.40
  6. Step 6: Final answer
    x = 2,256.96

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