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Finding the Fourth Proportional to 2,230.96, 3,325.16 and 2,214.04

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Solution

The fourth proportional to 2,230.96, 3,325.16 and 2,214.04 is: 3,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.96 : 3,325.16 = 2,214.04 : x
  2. Step 2: Convert to fraction form
    2,230.96/3,325.16 = 2,214.04/x
  3. Step 3: Cross multiply
    2,230.96x = 3,325.16 × 2,214.04
  4. Step 4: Simplify right side
    2,230.96x = 7,362,037.25
  5. Step 5: Solve for x
    x = 7,362,037.25/2,230.96
  6. Step 6: Final answer
    x = 3,299.94

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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.