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Finding the Fourth Proportional to 2,297.70, 3,446.55 and 1,933.20

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Solution

The fourth proportional to 2,297.70, 3,446.55 and 1,933.20 is: 2,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.70 : 3,446.55 = 1,933.20 : x
  2. Step 2: Convert to fraction form
    2,297.70/3,446.55 = 1,933.20/x
  3. Step 3: Cross multiply
    2,297.70x = 3,446.55 × 1,933.20
  4. Step 4: Simplify right side
    2,297.70x = 6,662,870.46
  5. Step 5: Solve for x
    x = 6,662,870.46/2,297.70
  6. Step 6: Final answer
    x = 2,899.80

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Similar ratio
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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.