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Finding the Fourth Proportional to 2,296.98, 3,446.43 and 1,202.06

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Solution

The fourth proportional to 2,296.98, 3,446.43 and 1,202.06 is: 1,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.98 : 3,446.43 = 1,202.06 : x
  2. Step 2: Convert to fraction form
    2,296.98/3,446.43 = 1,202.06/x
  3. Step 3: Cross multiply
    2,296.98x = 3,446.43 × 1,202.06
  4. Step 4: Simplify right side
    2,296.98x = 4,142,815.65
  5. Step 5: Solve for x
    x = 4,142,815.65/2,296.98
  6. Step 6: Final answer
    x = 1,803.59

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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.