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Finding the Fourth Proportional to 2,274.14, 3,410.95 and 630.47

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Solution

The fourth proportional to 2,274.14, 3,410.95 and 630.47 is: 945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.14 : 3,410.95 = 630.47 : x
  2. Step 2: Convert to fraction form
    2,274.14/3,410.95 = 630.47/x
  3. Step 3: Cross multiply
    2,274.14x = 3,410.95 × 630.47
  4. Step 4: Simplify right side
    2,274.14x = 2,150,508.60
  5. Step 5: Solve for x
    x = 2,150,508.60/2,274.14
  6. Step 6: Final answer
    x = 945.64

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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.