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Finding the Fourth Proportional to 2,818.75, 4,228.05 and 738.70

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Solution

The fourth proportional to 2,818.75, 4,228.05 and 738.70 is: 1,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.75 : 4,228.05 = 738.70 : x
  2. Step 2: Convert to fraction form
    2,818.75/4,228.05 = 738.70/x
  3. Step 3: Cross multiply
    2,818.75x = 4,228.05 × 738.70
  4. Step 4: Simplify right side
    2,818.75x = 3,123,260.54
  5. Step 5: Solve for x
    x = 3,123,260.54/2,818.75
  6. Step 6: Final answer
    x = 1,108.03

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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.