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Finding the Fourth Proportional to 3,133.97, 4,703.27 and 1,490.52

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Solution

The fourth proportional to 3,133.97, 4,703.27 and 1,490.52 is: 2,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.97 : 4,703.27 = 1,490.52 : x
  2. Step 2: Convert to fraction form
    3,133.97/4,703.27 = 1,490.52/x
  3. Step 3: Cross multiply
    3,133.97x = 4,703.27 × 1,490.52
  4. Step 4: Simplify right side
    3,133.97x = 7,010,310.55
  5. Step 5: Solve for x
    x = 7,010,310.55/3,133.97
  6. Step 6: Final answer
    x = 2,236.88

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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.