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Finding the Fourth Proportional to 2,296.19, 3,443.20 and 891.27

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Solution

The fourth proportional to 2,296.19, 3,443.20 and 891.27 is: 1,336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.19 : 3,443.20 = 891.27 : x
  2. Step 2: Convert to fraction form
    2,296.19/3,443.20 = 891.27/x
  3. Step 3: Cross multiply
    2,296.19x = 3,443.20 × 891.27
  4. Step 4: Simplify right side
    2,296.19x = 3,068,818.64
  5. Step 5: Solve for x
    x = 3,068,818.64/2,296.19
  6. Step 6: Final answer
    x = 1,336.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.