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Finding the Fourth Proportional to 2,884.23, 3,978.59 and 2,689.83

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Solution

The fourth proportional to 2,884.23, 3,978.59 and 2,689.83 is: 3,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.23 : 3,978.59 = 2,689.83 : x
  2. Step 2: Convert to fraction form
    2,884.23/3,978.59 = 2,689.83/x
  3. Step 3: Cross multiply
    2,884.23x = 3,978.59 × 2,689.83
  4. Step 4: Simplify right side
    2,884.23x = 10,701,717.29
  5. Step 5: Solve for x
    x = 10,701,717.29/2,884.23
  6. Step 6: Final answer
    x = 3,710.42

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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.