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Finding the Fourth Proportional to 2,297.55, 3,445.11 and 998.31

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Solution

The fourth proportional to 2,297.55, 3,445.11 and 998.31 is: 1,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.55 : 3,445.11 = 998.31 : x
  2. Step 2: Convert to fraction form
    2,297.55/3,445.11 = 998.31/x
  3. Step 3: Cross multiply
    2,297.55x = 3,445.11 × 998.31
  4. Step 4: Simplify right side
    2,297.55x = 3,439,287.76
  5. Step 5: Solve for x
    x = 3,439,287.76/2,297.55
  6. Step 6: Final answer
    x = 1,496.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.