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Finding the Fourth Proportional to 2,297.99, 3,447.51 and 654.55

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Solution

The fourth proportional to 2,297.99, 3,447.51 and 654.55 is: 981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.99 : 3,447.51 = 654.55 : x
  2. Step 2: Convert to fraction form
    2,297.99/3,447.51 = 654.55/x
  3. Step 3: Cross multiply
    2,297.99x = 3,447.51 × 654.55
  4. Step 4: Simplify right side
    2,297.99x = 2,256,560.28
  5. Step 5: Solve for x
    x = 2,256,560.28/2,297.99
  6. Step 6: Final answer
    x = 981.97

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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.