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Finding the Fourth Proportional to 2,199.98, 3,294.76 and 1,909.85

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Solution

The fourth proportional to 2,199.98, 3,294.76 and 1,909.85 is: 2,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.98 : 3,294.76 = 1,909.85 : x
  2. Step 2: Convert to fraction form
    2,199.98/3,294.76 = 1,909.85/x
  3. Step 3: Cross multiply
    2,199.98x = 3,294.76 × 1,909.85
  4. Step 4: Simplify right side
    2,199.98x = 6,292,497.39
  5. Step 5: Solve for x
    x = 6,292,497.39/2,199.98
  6. Step 6: Final answer
    x = 2,860.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.