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Finding the Fourth Proportional to 1,949.76, 2,923.20 and 909.60

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Solution

The fourth proportional to 1,949.76, 2,923.20 and 909.60 is: 1,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.76 : 2,923.20 = 909.60 : x
  2. Step 2: Convert to fraction form
    1,949.76/2,923.20 = 909.60/x
  3. Step 3: Cross multiply
    1,949.76x = 2,923.20 × 909.60
  4. Step 4: Simplify right side
    1,949.76x = 2,658,942.72
  5. Step 5: Solve for x
    x = 2,658,942.72/1,949.76
  6. Step 6: Final answer
    x = 1,363.73

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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.