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Finding the Fourth Proportional to 2,166.76, 2,990.82 and 1,838.44

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Solution

The fourth proportional to 2,166.76, 2,990.82 and 1,838.44 is: 2,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.76 : 2,990.82 = 1,838.44 : x
  2. Step 2: Convert to fraction form
    2,166.76/2,990.82 = 1,838.44/x
  3. Step 3: Cross multiply
    2,166.76x = 2,990.82 × 1,838.44
  4. Step 4: Simplify right side
    2,166.76x = 5,498,443.12
  5. Step 5: Solve for x
    x = 5,498,443.12/2,166.76
  6. Step 6: Final answer
    x = 2,537.63

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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.