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Finding the Fourth Proportional to 2,819.83, 4,230.03 and 970.70

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Solution

The fourth proportional to 2,819.83, 4,230.03 and 970.70 is: 1,456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.83 : 4,230.03 = 970.70 : x
  2. Step 2: Convert to fraction form
    2,819.83/4,230.03 = 970.70/x
  3. Step 3: Cross multiply
    2,819.83x = 4,230.03 × 970.70
  4. Step 4: Simplify right side
    2,819.83x = 4,106,087.69
  5. Step 5: Solve for x
    x = 4,106,087.69/2,819.83
  6. Step 6: Final answer
    x = 1,456.15

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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.