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Finding the Fourth Proportional to 2,570.70, 3,855.93 and 839.34

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Solution

The fourth proportional to 2,570.70, 3,855.93 and 839.34 is: 1,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.70 : 3,855.93 = 839.34 : x
  2. Step 2: Convert to fraction form
    2,570.70/3,855.93 = 839.34/x
  3. Step 3: Cross multiply
    2,570.70x = 3,855.93 × 839.34
  4. Step 4: Simplify right side
    2,570.70x = 3,236,436.29
  5. Step 5: Solve for x
    x = 3,236,436.29/2,570.70
  6. Step 6: Final answer
    x = 1,258.97

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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.