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Finding the Fourth Proportional to 2,983.62, 4,478.04 and 1,523.82

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Solution

The fourth proportional to 2,983.62, 4,478.04 and 1,523.82 is: 2,287.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.62 : 4,478.04 = 1,523.82 : x
  2. Step 2: Convert to fraction form
    2,983.62/4,478.04 = 1,523.82/x
  3. Step 3: Cross multiply
    2,983.62x = 4,478.04 × 1,523.82
  4. Step 4: Simplify right side
    2,983.62x = 6,823,726.91
  5. Step 5: Solve for x
    x = 6,823,726.91/2,983.62
  6. Step 6: Final answer
    x = 2,287.06

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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.