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Finding the Fourth Proportional to 1,972.29, 2,962.50 and 1,906.68

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Solution

The fourth proportional to 1,972.29, 2,962.50 and 1,906.68 is: 2,863.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.29 : 2,962.50 = 1,906.68 : x
  2. Step 2: Convert to fraction form
    1,972.29/2,962.50 = 1,906.68/x
  3. Step 3: Cross multiply
    1,972.29x = 2,962.50 × 1,906.68
  4. Step 4: Simplify right side
    1,972.29x = 5,648,539.50
  5. Step 5: Solve for x
    x = 5,648,539.50/1,972.29
  6. Step 6: Final answer
    x = 2,863.95

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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.