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Finding the Fourth Proportional to 3,214, 4,435.14 and 2,330.92

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Solution

The fourth proportional to 3,214, 4,435.14 and 2,330.92 is: 3,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214 : 4,435.14 = 2,330.92 : x
  2. Step 2: Convert to fraction form
    3,214/4,435.14 = 2,330.92/x
  3. Step 3: Cross multiply
    3,214x = 4,435.14 × 2,330.92
  4. Step 4: Simplify right side
    3,214x = 10,337,956.53
  5. Step 5: Solve for x
    x = 10,337,956.53/3,214
  6. Step 6: Final answer
    x = 3,216.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.