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Finding the Fourth Proportional to 2,297.76, 3,446.08 and 758.56

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Solution

The fourth proportional to 2,297.76, 3,446.08 and 758.56 is: 1,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.76 : 3,446.08 = 758.56 : x
  2. Step 2: Convert to fraction form
    2,297.76/3,446.08 = 758.56/x
  3. Step 3: Cross multiply
    2,297.76x = 3,446.08 × 758.56
  4. Step 4: Simplify right side
    2,297.76x = 2,614,058.44
  5. Step 5: Solve for x
    x = 2,614,058.44/2,297.76
  6. Step 6: Final answer
    x = 1,137.66

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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.