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Finding the Fourth Proportional to 2,818.72, 4,213.28 and 1,991.44

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Solution

The fourth proportional to 2,818.72, 4,213.28 and 1,991.44 is: 2,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.72 : 4,213.28 = 1,991.44 : x
  2. Step 2: Convert to fraction form
    2,818.72/4,213.28 = 1,991.44/x
  3. Step 3: Cross multiply
    2,818.72x = 4,213.28 × 1,991.44
  4. Step 4: Simplify right side
    2,818.72x = 8,390,494.32
  5. Step 5: Solve for x
    x = 8,390,494.32/2,818.72
  6. Step 6: Final answer
    x = 2,976.70

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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.