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Finding the Fourth Proportional to 2,138.70, 3,204.27 and 1,486.38

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Solution

The fourth proportional to 2,138.70, 3,204.27 and 1,486.38 is: 2,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.70 : 3,204.27 = 1,486.38 : x
  2. Step 2: Convert to fraction form
    2,138.70/3,204.27 = 1,486.38/x
  3. Step 3: Cross multiply
    2,138.70x = 3,204.27 × 1,486.38
  4. Step 4: Simplify right side
    2,138.70x = 4,762,762.84
  5. Step 5: Solve for x
    x = 4,762,762.84/2,138.70
  6. Step 6: Final answer
    x = 2,226.94

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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.