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Finding the Fourth Proportional to 2,297.60, 3,445.14 and 1,568

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Solution

The fourth proportional to 2,297.60, 3,445.14 and 1,568 is: 2,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.60 : 3,445.14 = 1,568 : x
  2. Step 2: Convert to fraction form
    2,297.60/3,445.14 = 1,568/x
  3. Step 3: Cross multiply
    2,297.60x = 3,445.14 × 1,568
  4. Step 4: Simplify right side
    2,297.60x = 5,401,979.52
  5. Step 5: Solve for x
    x = 5,401,979.52/2,297.60
  6. Step 6: Final answer
    x = 2,351.14

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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.