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Finding the Fourth Proportional to 2,003.95, 3,006.08 and 543.08

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Solution

The fourth proportional to 2,003.95, 3,006.08 and 543.08 is: 814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.95 : 3,006.08 = 543.08 : x
  2. Step 2: Convert to fraction form
    2,003.95/3,006.08 = 543.08/x
  3. Step 3: Cross multiply
    2,003.95x = 3,006.08 × 543.08
  4. Step 4: Simplify right side
    2,003.95x = 1,632,541.93
  5. Step 5: Solve for x
    x = 1,632,541.93/2,003.95
  6. Step 6: Final answer
    x = 814.66

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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.