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Finding the Fourth Proportional to 2,297.58, 3,446.06 and 998.88

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Solution

The fourth proportional to 2,297.58, 3,446.06 and 998.88 is: 1,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.58 : 3,446.06 = 998.88 : x
  2. Step 2: Convert to fraction form
    2,297.58/3,446.06 = 998.88/x
  3. Step 3: Cross multiply
    2,297.58x = 3,446.06 × 998.88
  4. Step 4: Simplify right side
    2,297.58x = 3,442,195.42
  5. Step 5: Solve for x
    x = 3,442,195.42/2,297.58
  6. Step 6: Final answer
    x = 1,498.18

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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.