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Finding the Fourth Proportional to 2,166.92, 2,990.61 and 1,382.03

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Solution

The fourth proportional to 2,166.92, 2,990.61 and 1,382.03 is: 1,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.92 : 2,990.61 = 1,382.03 : x
  2. Step 2: Convert to fraction form
    2,166.92/2,990.61 = 1,382.03/x
  3. Step 3: Cross multiply
    2,166.92x = 2,990.61 × 1,382.03
  4. Step 4: Simplify right side
    2,166.92x = 4,133,112.74
  5. Step 5: Solve for x
    x = 4,133,112.74/2,166.92
  6. Step 6: Final answer
    x = 1,907.37

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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.