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Finding the Fourth Proportional to 2,297.52, 3,447.24 and 930.48

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Solution

The fourth proportional to 2,297.52, 3,447.24 and 930.48 is: 1,396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.52 : 3,447.24 = 930.48 : x
  2. Step 2: Convert to fraction form
    2,297.52/3,447.24 = 930.48/x
  3. Step 3: Cross multiply
    2,297.52x = 3,447.24 × 930.48
  4. Step 4: Simplify right side
    2,297.52x = 3,207,587.88
  5. Step 5: Solve for x
    x = 3,207,587.88/2,297.52
  6. Step 6: Final answer
    x = 1,396.11

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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.