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Finding the Fourth Proportional to 2,568.19, 3,833.71 and 2,256.80

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Solution

The fourth proportional to 2,568.19, 3,833.71 and 2,256.80 is: 3,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.19 : 3,833.71 = 2,256.80 : x
  2. Step 2: Convert to fraction form
    2,568.19/3,833.71 = 2,256.80/x
  3. Step 3: Cross multiply
    2,568.19x = 3,833.71 × 2,256.80
  4. Step 4: Simplify right side
    2,568.19x = 8,651,916.73
  5. Step 5: Solve for x
    x = 8,651,916.73/2,568.19
  6. Step 6: Final answer
    x = 3,368.88

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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.