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Finding the Fourth Proportional to 2,568.14, 3,833.62 and 2,256.74

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Solution

The fourth proportional to 2,568.14, 3,833.62 and 2,256.74 is: 3,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.14 : 3,833.62 = 2,256.74 : x
  2. Step 2: Convert to fraction form
    2,568.14/3,833.62 = 2,256.74/x
  3. Step 3: Cross multiply
    2,568.14x = 3,833.62 × 2,256.74
  4. Step 4: Simplify right side
    2,568.14x = 8,651,498.82
  5. Step 5: Solve for x
    x = 8,651,498.82/2,568.14
  6. Step 6: Final answer
    x = 3,368.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.