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Finding the Fourth Proportional to 2,243.80, 3,340.52 and 2,233

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Solution

The fourth proportional to 2,243.80, 3,340.52 and 2,233 is: 3,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.80 : 3,340.52 = 2,233 : x
  2. Step 2: Convert to fraction form
    2,243.80/3,340.52 = 2,233/x
  3. Step 3: Cross multiply
    2,243.80x = 3,340.52 × 2,233
  4. Step 4: Simplify right side
    2,243.80x = 7,459,381.16
  5. Step 5: Solve for x
    x = 7,459,381.16/2,243.80
  6. Step 6: Final answer
    x = 3,324.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.