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Finding the Fourth Proportional to 3,262.52, 4,893.78 and 922.43

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Solution

The fourth proportional to 3,262.52, 4,893.78 and 922.43 is: 1,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.52 : 4,893.78 = 922.43 : x
  2. Step 2: Convert to fraction form
    3,262.52/4,893.78 = 922.43/x
  3. Step 3: Cross multiply
    3,262.52x = 4,893.78 × 922.43
  4. Step 4: Simplify right side
    3,262.52x = 4,514,169.49
  5. Step 5: Solve for x
    x = 4,514,169.49/3,262.52
  6. Step 6: Final answer
    x = 1,383.65

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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.