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Finding the Fourth Proportional to 3,398.84, 4,690.14 and 1,906.76

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Solution

The fourth proportional to 3,398.84, 4,690.14 and 1,906.76 is: 2,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.84 : 4,690.14 = 1,906.76 : x
  2. Step 2: Convert to fraction form
    3,398.84/4,690.14 = 1,906.76/x
  3. Step 3: Cross multiply
    3,398.84x = 4,690.14 × 1,906.76
  4. Step 4: Simplify right side
    3,398.84x = 8,942,971.35
  5. Step 5: Solve for x
    x = 8,942,971.35/3,398.84
  6. Step 6: Final answer
    x = 2,631.18

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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.