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Finding the Fourth Proportional to 2,333.10, 3,491.55 and 2,138.70

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Solution

The fourth proportional to 2,333.10, 3,491.55 and 2,138.70 is: 3,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.10 : 3,491.55 = 2,138.70 : x
  2. Step 2: Convert to fraction form
    2,333.10/3,491.55 = 2,138.70/x
  3. Step 3: Cross multiply
    2,333.10x = 3,491.55 × 2,138.70
  4. Step 4: Simplify right side
    2,333.10x = 7,467,377.99
  5. Step 5: Solve for x
    x = 7,467,377.99/2,333.10
  6. Step 6: Final answer
    x = 3,200.62

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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.