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Finding the Fourth Proportional to 2,283.96, 3,423.84 and 822.75

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Solution

The fourth proportional to 2,283.96, 3,423.84 and 822.75 is: 1,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.96 : 3,423.84 = 822.75 : x
  2. Step 2: Convert to fraction form
    2,283.96/3,423.84 = 822.75/x
  3. Step 3: Cross multiply
    2,283.96x = 3,423.84 × 822.75
  4. Step 4: Simplify right side
    2,283.96x = 2,816,964.36
  5. Step 5: Solve for x
    x = 2,816,964.36/2,283.96
  6. Step 6: Final answer
    x = 1,233.37

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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.