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Finding the Fourth Proportional to 2,003.90, 3,005.70 and 543.20

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Solution

The fourth proportional to 2,003.90, 3,005.70 and 543.20 is: 814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.90 : 3,005.70 = 543.20 : x
  2. Step 2: Convert to fraction form
    2,003.90/3,005.70 = 543.20/x
  3. Step 3: Cross multiply
    2,003.90x = 3,005.70 × 543.20
  4. Step 4: Simplify right side
    2,003.90x = 1,632,696.24
  5. Step 5: Solve for x
    x = 1,632,696.24/2,003.90
  6. Step 6: Final answer
    x = 814.76

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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.