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Finding the Fourth Proportional to 2,566.19, 3,850.19 and 1,268.57

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Solution

The fourth proportional to 2,566.19, 3,850.19 and 1,268.57 is: 1,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.19 : 3,850.19 = 1,268.57 : x
  2. Step 2: Convert to fraction form
    2,566.19/3,850.19 = 1,268.57/x
  3. Step 3: Cross multiply
    2,566.19x = 3,850.19 × 1,268.57
  4. Step 4: Simplify right side
    2,566.19x = 4,884,235.53
  5. Step 5: Solve for x
    x = 4,884,235.53/2,566.19
  6. Step 6: Final answer
    x = 1,903.30

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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.