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Finding the Fourth Proportional to 2,282.34, 3,423.52 and 550.97

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Solution

The fourth proportional to 2,282.34, 3,423.52 and 550.97 is: 826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.34 : 3,423.52 = 550.97 : x
  2. Step 2: Convert to fraction form
    2,282.34/3,423.52 = 550.97/x
  3. Step 3: Cross multiply
    2,282.34x = 3,423.52 × 550.97
  4. Step 4: Simplify right side
    2,282.34x = 1,886,250.12
  5. Step 5: Solve for x
    x = 1,886,250.12/2,282.34
  6. Step 6: Final answer
    x = 826.45

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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.