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Finding the Fourth Proportional to 3,224.70, 4,838.88 and 1,923.44

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Solution

The fourth proportional to 3,224.70, 4,838.88 and 1,923.44 is: 2,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.70 : 4,838.88 = 1,923.44 : x
  2. Step 2: Convert to fraction form
    3,224.70/4,838.88 = 1,923.44/x
  3. Step 3: Cross multiply
    3,224.70x = 4,838.88 × 1,923.44
  4. Step 4: Simplify right side
    3,224.70x = 9,307,295.35
  5. Step 5: Solve for x
    x = 9,307,295.35/3,224.70
  6. Step 6: Final answer
    x = 2,886.25

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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.