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Finding the Fourth Proportional to 2,570.28, 3,855.78 and 839.04

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Solution

The fourth proportional to 2,570.28, 3,855.78 and 839.04 is: 1,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.28 : 3,855.78 = 839.04 : x
  2. Step 2: Convert to fraction form
    2,570.28/3,855.78 = 839.04/x
  3. Step 3: Cross multiply
    2,570.28x = 3,855.78 × 839.04
  4. Step 4: Simplify right side
    2,570.28x = 3,235,153.65
  5. Step 5: Solve for x
    x = 3,235,153.65/2,570.28
  6. Step 6: Final answer
    x = 1,258.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.