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Finding the Fourth Proportional to 3,214.50, 4,436.01 and 1,972.50

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Solution

The fourth proportional to 3,214.50, 4,436.01 and 1,972.50 is: 2,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.50 : 4,436.01 = 1,972.50 : x
  2. Step 2: Convert to fraction form
    3,214.50/4,436.01 = 1,972.50/x
  3. Step 3: Cross multiply
    3,214.50x = 4,436.01 × 1,972.50
  4. Step 4: Simplify right side
    3,214.50x = 8,750,029.73
  5. Step 5: Solve for x
    x = 8,750,029.73/3,214.50
  6. Step 6: Final answer
    x = 2,722.05

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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.