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Finding the Fourth Proportional to 2,570.87, 3,855.81 and 1,253.30

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Solution

The fourth proportional to 2,570.87, 3,855.81 and 1,253.30 is: 1,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.87 : 3,855.81 = 1,253.30 : x
  2. Step 2: Convert to fraction form
    2,570.87/3,855.81 = 1,253.30/x
  3. Step 3: Cross multiply
    2,570.87x = 3,855.81 × 1,253.30
  4. Step 4: Simplify right side
    2,570.87x = 4,832,486.55
  5. Step 5: Solve for x
    x = 4,832,486.55/2,570.87
  6. Step 6: Final answer
    x = 1,879.71

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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.