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Finding the Fourth Proportional to 2,276.54, 3,414.80 and 737.54

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Solution

The fourth proportional to 2,276.54, 3,414.80 and 737.54 is: 1,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.54 : 3,414.80 = 737.54 : x
  2. Step 2: Convert to fraction form
    2,276.54/3,414.80 = 737.54/x
  3. Step 3: Cross multiply
    2,276.54x = 3,414.80 × 737.54
  4. Step 4: Simplify right side
    2,276.54x = 2,518,530.83
  5. Step 5: Solve for x
    x = 2,518,530.83/2,276.54
  6. Step 6: Final answer
    x = 1,106.30

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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.