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Finding the Fourth Proportional to 2,866.63, 4,280.33 and 2,568.22

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Solution

The fourth proportional to 2,866.63, 4,280.33 and 2,568.22 is: 3,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.63 : 4,280.33 = 2,568.22 : x
  2. Step 2: Convert to fraction form
    2,866.63/4,280.33 = 2,568.22/x
  3. Step 3: Cross multiply
    2,866.63x = 4,280.33 × 2,568.22
  4. Step 4: Simplify right side
    2,866.63x = 10,992,829.11
  5. Step 5: Solve for x
    x = 10,992,829.11/2,866.63
  6. Step 6: Final answer
    x = 3,834.76

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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.