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Finding the Fourth Proportional to 2,297.08, 3,445.30 and 998.38

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Solution

The fourth proportional to 2,297.08, 3,445.30 and 998.38 is: 1,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.08 : 3,445.30 = 998.38 : x
  2. Step 2: Convert to fraction form
    2,297.08/3,445.30 = 998.38/x
  3. Step 3: Cross multiply
    2,297.08x = 3,445.30 × 998.38
  4. Step 4: Simplify right side
    2,297.08x = 3,439,718.61
  5. Step 5: Solve for x
    x = 3,439,718.61/2,297.08
  6. Step 6: Final answer
    x = 1,497.43

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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.