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Finding the Fourth Proportional to 2,276.44, 3,415.20 and 737.44

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Solution

The fourth proportional to 2,276.44, 3,415.20 and 737.44 is: 1,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.44 : 3,415.20 = 737.44 : x
  2. Step 2: Convert to fraction form
    2,276.44/3,415.20 = 737.44/x
  3. Step 3: Cross multiply
    2,276.44x = 3,415.20 × 737.44
  4. Step 4: Simplify right side
    2,276.44x = 2,518,493.78
  5. Step 5: Solve for x
    x = 2,518,493.78/2,276.44
  6. Step 6: Final answer
    x = 1,106.33

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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.