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Finding the Fourth Proportional to 2,296.01, 3,439.69 and 1,984.37

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Solution

The fourth proportional to 2,296.01, 3,439.69 and 1,984.37 is: 2,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.01 : 3,439.69 = 1,984.37 : x
  2. Step 2: Convert to fraction form
    2,296.01/3,439.69 = 1,984.37/x
  3. Step 3: Cross multiply
    2,296.01x = 3,439.69 × 1,984.37
  4. Step 4: Simplify right side
    2,296.01x = 6,825,595.49
  5. Step 5: Solve for x
    x = 6,825,595.49/2,296.01
  6. Step 6: Final answer
    x = 2,972.80

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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.