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Finding the Fourth Proportional to 2,568.82, 3,833.55 and 2,292

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Solution

The fourth proportional to 2,568.82, 3,833.55 and 2,292 is: 3,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.82 : 3,833.55 = 2,292 : x
  2. Step 2: Convert to fraction form
    2,568.82/3,833.55 = 2,292/x
  3. Step 3: Cross multiply
    2,568.82x = 3,833.55 × 2,292
  4. Step 4: Simplify right side
    2,568.82x = 8,786,485.14
  5. Step 5: Solve for x
    x = 8,786,485.14/2,568.82
  6. Step 6: Final answer
    x = 3,420.44

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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.