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Finding the Fourth Proportional to 3,298.66, 4,552.72 and 1,972.49

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Solution

The fourth proportional to 3,298.66, 4,552.72 and 1,972.49 is: 2,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.66 : 4,552.72 = 1,972.49 : x
  2. Step 2: Convert to fraction form
    3,298.66/4,552.72 = 1,972.49/x
  3. Step 3: Cross multiply
    3,298.66x = 4,552.72 × 1,972.49
  4. Step 4: Simplify right side
    3,298.66x = 8,980,166.98
  5. Step 5: Solve for x
    x = 8,980,166.98/3,298.66
  6. Step 6: Final answer
    x = 2,722.37

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Why These Related Problems?

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