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Finding the Fourth Proportional to 3,424.70, 4,725.82 and 1,932.54

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Solution

The fourth proportional to 3,424.70, 4,725.82 and 1,932.54 is: 2,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.70 : 4,725.82 = 1,932.54 : x
  2. Step 2: Convert to fraction form
    3,424.70/4,725.82 = 1,932.54/x
  3. Step 3: Cross multiply
    3,424.70x = 4,725.82 × 1,932.54
  4. Step 4: Simplify right side
    3,424.70x = 9,132,836.18
  5. Step 5: Solve for x
    x = 9,132,836.18/3,424.70
  6. Step 6: Final answer
    x = 2,666.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.