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Finding the Fourth Proportional to 2,568.78, 3,544.05 and 2,095.86

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Solution

The fourth proportional to 2,568.78, 3,544.05 and 2,095.86 is: 2,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.78 : 3,544.05 = 2,095.86 : x
  2. Step 2: Convert to fraction form
    2,568.78/3,544.05 = 2,095.86/x
  3. Step 3: Cross multiply
    2,568.78x = 3,544.05 × 2,095.86
  4. Step 4: Simplify right side
    2,568.78x = 7,427,832.63
  5. Step 5: Solve for x
    x = 7,427,832.63/2,568.78
  6. Step 6: Final answer
    x = 2,891.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.