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Finding the Fourth Proportional to 2,247.44, 3,369.70 and 930.84

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Solution

The fourth proportional to 2,247.44, 3,369.70 and 930.84 is: 1,395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.44 : 3,369.70 = 930.84 : x
  2. Step 2: Convert to fraction form
    2,247.44/3,369.70 = 930.84/x
  3. Step 3: Cross multiply
    2,247.44x = 3,369.70 × 930.84
  4. Step 4: Simplify right side
    2,247.44x = 3,136,651.55
  5. Step 5: Solve for x
    x = 3,136,651.55/2,247.44
  6. Step 6: Final answer
    x = 1,395.66

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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.