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Finding the Fourth Proportional to 2,276.51, 3,414.66 and 633.14

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Solution

The fourth proportional to 2,276.51, 3,414.66 and 633.14 is: 949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.51 : 3,414.66 = 633.14 : x
  2. Step 2: Convert to fraction form
    2,276.51/3,414.66 = 633.14/x
  3. Step 3: Cross multiply
    2,276.51x = 3,414.66 × 633.14
  4. Step 4: Simplify right side
    2,276.51x = 2,161,957.83
  5. Step 5: Solve for x
    x = 2,161,957.83/2,276.51
  6. Step 6: Final answer
    x = 949.68

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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.