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Finding the Fourth Proportional to 2,338.14, 3,510.09 and 2,217.18

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Solution

The fourth proportional to 2,338.14, 3,510.09 and 2,217.18 is: 3,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.14 : 3,510.09 = 2,217.18 : x
  2. Step 2: Convert to fraction form
    2,338.14/3,510.09 = 2,217.18/x
  3. Step 3: Cross multiply
    2,338.14x = 3,510.09 × 2,217.18
  4. Step 4: Simplify right side
    2,338.14x = 7,782,501.35
  5. Step 5: Solve for x
    x = 7,782,501.35/2,338.14
  6. Step 6: Final answer
    x = 3,328.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.