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Finding the Fourth Proportional to 2,570.70, 3,856.05 and 927.75

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Solution

The fourth proportional to 2,570.70, 3,856.05 and 927.75 is: 1,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.70 : 3,856.05 = 927.75 : x
  2. Step 2: Convert to fraction form
    2,570.70/3,856.05 = 927.75/x
  3. Step 3: Cross multiply
    2,570.70x = 3,856.05 × 927.75
  4. Step 4: Simplify right side
    2,570.70x = 3,577,450.39
  5. Step 5: Solve for x
    x = 3,577,450.39/2,570.70
  6. Step 6: Final answer
    x = 1,391.63

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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.