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Finding the Fourth Proportional to 3,398.50, 4,690.50 and 2,000.98

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Solution

The fourth proportional to 3,398.50, 4,690.50 and 2,000.98 is: 2,761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.50 : 4,690.50 = 2,000.98 : x
  2. Step 2: Convert to fraction form
    3,398.50/4,690.50 = 2,000.98/x
  3. Step 3: Cross multiply
    3,398.50x = 4,690.50 × 2,000.98
  4. Step 4: Simplify right side
    3,398.50x = 9,385,596.69
  5. Step 5: Solve for x
    x = 9,385,596.69/3,398.50
  6. Step 6: Final answer
    x = 2,761.69

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