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Finding the Fourth Proportional to 2,626.57, 3,934.72 and 1,586.80

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Solution

The fourth proportional to 2,626.57, 3,934.72 and 1,586.80 is: 2,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.57 : 3,934.72 = 1,586.80 : x
  2. Step 2: Convert to fraction form
    2,626.57/3,934.72 = 1,586.80/x
  3. Step 3: Cross multiply
    2,626.57x = 3,934.72 × 1,586.80
  4. Step 4: Simplify right side
    2,626.57x = 6,243,613.70
  5. Step 5: Solve for x
    x = 6,243,613.70/2,626.57
  6. Step 6: Final answer
    x = 2,377.10

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