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Finding the Fourth Proportional to 2,004.93, 3,007.06 and 543.76

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Solution

The fourth proportional to 2,004.93, 3,007.06 and 543.76 is: 815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.93 : 3,007.06 = 543.76 : x
  2. Step 2: Convert to fraction form
    2,004.93/3,007.06 = 543.76/x
  3. Step 3: Cross multiply
    2,004.93x = 3,007.06 × 543.76
  4. Step 4: Simplify right side
    2,004.93x = 1,635,110.07
  5. Step 5: Solve for x
    x = 1,635,110.07/2,004.93
  6. Step 6: Final answer
    x = 815.54

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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.