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Finding the Fourth Proportional to 2,297.75, 3,446.63 and 758.75

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Solution

The fourth proportional to 2,297.75, 3,446.63 and 758.75 is: 1,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.75 : 3,446.63 = 758.75 : x
  2. Step 2: Convert to fraction form
    2,297.75/3,446.63 = 758.75/x
  3. Step 3: Cross multiply
    2,297.75x = 3,446.63 × 758.75
  4. Step 4: Simplify right side
    2,297.75x = 2,615,130.51
  5. Step 5: Solve for x
    x = 2,615,130.51/2,297.75
  6. Step 6: Final answer
    x = 1,138.13

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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.