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Finding the Fourth Proportional to 3,286.31, 4,929.71 and 946.30

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Solution

The fourth proportional to 3,286.31, 4,929.71 and 946.30 is: 1,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.31 : 4,929.71 = 946.30 : x
  2. Step 2: Convert to fraction form
    3,286.31/4,929.71 = 946.30/x
  3. Step 3: Cross multiply
    3,286.31x = 4,929.71 × 946.30
  4. Step 4: Simplify right side
    3,286.31x = 4,664,984.57
  5. Step 5: Solve for x
    x = 4,664,984.57/3,286.31
  6. Step 6: Final answer
    x = 1,419.52

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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.