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Finding the Fourth Proportional to 1,517.97, 2,276.79 and 407.49

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Solution

The fourth proportional to 1,517.97, 2,276.79 and 407.49 is: 611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.97 : 2,276.79 = 407.49 : x
  2. Step 2: Convert to fraction form
    1,517.97/2,276.79 = 407.49/x
  3. Step 3: Cross multiply
    1,517.97x = 2,276.79 × 407.49
  4. Step 4: Simplify right side
    1,517.97x = 927,776.17
  5. Step 5: Solve for x
    x = 927,776.17/1,517.97
  6. Step 6: Final answer
    x = 611.20

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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.