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Finding the Fourth Proportional to 2,138.92, 3,204.20 and 1,406.28

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Solution

The fourth proportional to 2,138.92, 3,204.20 and 1,406.28 is: 2,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.92 : 3,204.20 = 1,406.28 : x
  2. Step 2: Convert to fraction form
    2,138.92/3,204.20 = 1,406.28/x
  3. Step 3: Cross multiply
    2,138.92x = 3,204.20 × 1,406.28
  4. Step 4: Simplify right side
    2,138.92x = 4,506,002.38
  5. Step 5: Solve for x
    x = 4,506,002.38/2,138.92
  6. Step 6: Final answer
    x = 2,106.67

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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.