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Finding the Fourth Proportional to 2,297.38, 3,446.08 and 1,891.58

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Solution

The fourth proportional to 2,297.38, 3,446.08 and 1,891.58 is: 2,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.38 : 3,446.08 = 1,891.58 : x
  2. Step 2: Convert to fraction form
    2,297.38/3,446.08 = 1,891.58/x
  3. Step 3: Cross multiply
    2,297.38x = 3,446.08 × 1,891.58
  4. Step 4: Simplify right side
    2,297.38x = 6,518,536.01
  5. Step 5: Solve for x
    x = 6,518,536.01/2,297.38
  6. Step 6: Final answer
    x = 2,837.38

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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.