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Finding the Fourth Proportional to 2,893.52, 3,988.40 and 2,262.96

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Solution

The fourth proportional to 2,893.52, 3,988.40 and 2,262.96 is: 3,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.52 : 3,988.40 = 2,262.96 : x
  2. Step 2: Convert to fraction form
    2,893.52/3,988.40 = 2,262.96/x
  3. Step 3: Cross multiply
    2,893.52x = 3,988.40 × 2,262.96
  4. Step 4: Simplify right side
    2,893.52x = 9,025,589.66
  5. Step 5: Solve for x
    x = 9,025,589.66/2,893.52
  6. Step 6: Final answer
    x = 3,119.24

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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.