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Finding the Fourth Proportional to 2,884.50, 4,326.75 and 936.84

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Solution

The fourth proportional to 2,884.50, 4,326.75 and 936.84 is: 1,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.50 : 4,326.75 = 936.84 : x
  2. Step 2: Convert to fraction form
    2,884.50/4,326.75 = 936.84/x
  3. Step 3: Cross multiply
    2,884.50x = 4,326.75 × 936.84
  4. Step 4: Simplify right side
    2,884.50x = 4,053,472.47
  5. Step 5: Solve for x
    x = 4,053,472.47/2,884.50
  6. Step 6: Final answer
    x = 1,405.26

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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.