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Finding the Fourth Proportional to 2,297.96, 3,446.02 and 1,778.55

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Solution

The fourth proportional to 2,297.96, 3,446.02 and 1,778.55 is: 2,667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.96 : 3,446.02 = 1,778.55 : x
  2. Step 2: Convert to fraction form
    2,297.96/3,446.02 = 1,778.55/x
  3. Step 3: Cross multiply
    2,297.96x = 3,446.02 × 1,778.55
  4. Step 4: Simplify right side
    2,297.96x = 6,128,918.87
  5. Step 5: Solve for x
    x = 6,128,918.87/2,297.96
  6. Step 6: Final answer
    x = 2,667.11

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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.