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Finding the Fourth Proportional to 2,000.69, 2,986.59 and 1,910.82

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Solution

The fourth proportional to 2,000.69, 2,986.59 and 1,910.82 is: 2,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.69 : 2,986.59 = 1,910.82 : x
  2. Step 2: Convert to fraction form
    2,000.69/2,986.59 = 1,910.82/x
  3. Step 3: Cross multiply
    2,000.69x = 2,986.59 × 1,910.82
  4. Step 4: Simplify right side
    2,000.69x = 5,706,854.27
  5. Step 5: Solve for x
    x = 5,706,854.27/2,000.69
  6. Step 6: Final answer
    x = 2,852.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.