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Finding the Fourth Proportional to 2,188.10, 3,278.10 and 2,042.30

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Solution

The fourth proportional to 2,188.10, 3,278.10 and 2,042.30 is: 3,059.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.10 : 3,278.10 = 2,042.30 : x
  2. Step 2: Convert to fraction form
    2,188.10/3,278.10 = 2,042.30/x
  3. Step 3: Cross multiply
    2,188.10x = 3,278.10 × 2,042.30
  4. Step 4: Simplify right side
    2,188.10x = 6,694,863.63
  5. Step 5: Solve for x
    x = 6,694,863.63/2,188.10
  6. Step 6: Final answer
    x = 3,059.67

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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.