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Finding the Fourth Proportional to 2,000.61, 2,760 and 1,192.89

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Solution

The fourth proportional to 2,000.61, 2,760 and 1,192.89 is: 1,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.61 : 2,760 = 1,192.89 : x
  2. Step 2: Convert to fraction form
    2,000.61/2,760 = 1,192.89/x
  3. Step 3: Cross multiply
    2,000.61x = 2,760 × 1,192.89
  4. Step 4: Simplify right side
    2,000.61x = 3,292,376.40
  5. Step 5: Solve for x
    x = 3,292,376.40/2,000.61
  6. Step 6: Final answer
    x = 1,645.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.