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Finding the Fourth Proportional to 1,972.69, 2,722.17 and 1,187.17

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Solution

The fourth proportional to 1,972.69, 2,722.17 and 1,187.17 is: 1,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.69 : 2,722.17 = 1,187.17 : x
  2. Step 2: Convert to fraction form
    1,972.69/2,722.17 = 1,187.17/x
  3. Step 3: Cross multiply
    1,972.69x = 2,722.17 × 1,187.17
  4. Step 4: Simplify right side
    1,972.69x = 3,231,678.56
  5. Step 5: Solve for x
    x = 3,231,678.56/1,972.69
  6. Step 6: Final answer
    x = 1,638.21

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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.