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Finding the Fourth Proportional to 3,236.73, 4,854.97 and 928.23

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Solution

The fourth proportional to 3,236.73, 4,854.97 and 928.23 is: 1,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.73 : 4,854.97 = 928.23 : x
  2. Step 2: Convert to fraction form
    3,236.73/4,854.97 = 928.23/x
  3. Step 3: Cross multiply
    3,236.73x = 4,854.97 × 928.23
  4. Step 4: Simplify right side
    3,236.73x = 4,506,528.80
  5. Step 5: Solve for x
    x = 4,506,528.80/3,236.73
  6. Step 6: Final answer
    x = 1,392.31

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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.