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Finding the Fourth Proportional to 2,338.69, 3,510.56 and 2,080.34

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Solution

The fourth proportional to 2,338.69, 3,510.56 and 2,080.34 is: 3,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.69 : 3,510.56 = 2,080.34 : x
  2. Step 2: Convert to fraction form
    2,338.69/3,510.56 = 2,080.34/x
  3. Step 3: Cross multiply
    2,338.69x = 3,510.56 × 2,080.34
  4. Step 4: Simplify right side
    2,338.69x = 7,303,147.99
  5. Step 5: Solve for x
    x = 7,303,147.99/2,338.69
  6. Step 6: Final answer
    x = 3,122.76

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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.