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Finding the Fourth Proportional to 2,296.89, 3,444.66 and 2,271.96

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Solution

The fourth proportional to 2,296.89, 3,444.66 and 2,271.96 is: 3,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.89 : 3,444.66 = 2,271.96 : x
  2. Step 2: Convert to fraction form
    2,296.89/3,444.66 = 2,271.96/x
  3. Step 3: Cross multiply
    2,296.89x = 3,444.66 × 2,271.96
  4. Step 4: Simplify right side
    2,296.89x = 7,826,129.73
  5. Step 5: Solve for x
    x = 7,826,129.73/2,296.89
  6. Step 6: Final answer
    x = 3,407.27

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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.