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Finding the Fourth Proportional to 3,297.84, 4,552.26 and 1,972.02

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Solution

The fourth proportional to 3,297.84, 4,552.26 and 1,972.02 is: 2,722.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.84 : 4,552.26 = 1,972.02 : x
  2. Step 2: Convert to fraction form
    3,297.84/4,552.26 = 1,972.02/x
  3. Step 3: Cross multiply
    3,297.84x = 4,552.26 × 1,972.02
  4. Step 4: Simplify right side
    3,297.84x = 8,977,147.77
  5. Step 5: Solve for x
    x = 8,977,147.77/3,297.84
  6. Step 6: Final answer
    x = 2,722.13

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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.