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Finding the Fourth Proportional to 2,286.60, 3,429.90 and 2,246.10

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Solution

The fourth proportional to 2,286.60, 3,429.90 and 2,246.10 is: 3,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.60 : 3,429.90 = 2,246.10 : x
  2. Step 2: Convert to fraction form
    2,286.60/3,429.90 = 2,246.10/x
  3. Step 3: Cross multiply
    2,286.60x = 3,429.90 × 2,246.10
  4. Step 4: Simplify right side
    2,286.60x = 7,703,898.39
  5. Step 5: Solve for x
    x = 7,703,898.39/2,286.60
  6. Step 6: Final answer
    x = 3,369.15

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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.