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Finding the Fourth Proportional to 2,570.33, 3,857.09 and 1,183.87

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Solution

The fourth proportional to 2,570.33, 3,857.09 and 1,183.87 is: 1,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.33 : 3,857.09 = 1,183.87 : x
  2. Step 2: Convert to fraction form
    2,570.33/3,857.09 = 1,183.87/x
  3. Step 3: Cross multiply
    2,570.33x = 3,857.09 × 1,183.87
  4. Step 4: Simplify right side
    2,570.33x = 4,566,280.33
  5. Step 5: Solve for x
    x = 4,566,280.33/2,570.33
  6. Step 6: Final answer
    x = 1,776.53

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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.