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Finding the Fourth Proportional to 2,570.16, 3,858.90 and 2,452.71

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Solution

The fourth proportional to 2,570.16, 3,858.90 and 2,452.71 is: 3,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.16 : 3,858.90 = 2,452.71 : x
  2. Step 2: Convert to fraction form
    2,570.16/3,858.90 = 2,452.71/x
  3. Step 3: Cross multiply
    2,570.16x = 3,858.90 × 2,452.71
  4. Step 4: Simplify right side
    2,570.16x = 9,464,762.62
  5. Step 5: Solve for x
    x = 9,464,762.62/2,570.16
  6. Step 6: Final answer
    x = 3,682.56

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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.