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Finding the Fourth Proportional to 2,338.56, 3,485.05 and 2,271.09

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Solution

The fourth proportional to 2,338.56, 3,485.05 and 2,271.09 is: 3,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.56 : 3,485.05 = 2,271.09 : x
  2. Step 2: Convert to fraction form
    2,338.56/3,485.05 = 2,271.09/x
  3. Step 3: Cross multiply
    2,338.56x = 3,485.05 × 2,271.09
  4. Step 4: Simplify right side
    2,338.56x = 7,914,849.99
  5. Step 5: Solve for x
    x = 7,914,849.99/2,338.56
  6. Step 6: Final answer
    x = 3,384.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.