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Finding the Fourth Proportional to 2,569.85, 3,858.42 and 2,452.40

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Solution

The fourth proportional to 2,569.85, 3,858.42 and 2,452.40 is: 3,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.85 : 3,858.42 = 2,452.40 : x
  2. Step 2: Convert to fraction form
    2,569.85/3,858.42 = 2,452.40/x
  3. Step 3: Cross multiply
    2,569.85x = 3,858.42 × 2,452.40
  4. Step 4: Simplify right side
    2,569.85x = 9,462,376.95
  5. Step 5: Solve for x
    x = 9,462,376.95/2,569.85
  6. Step 6: Final answer
    x = 3,682.07

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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.