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Finding the Fourth Proportional to 2,477.97, 3,718.76 and 1,996.83

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Solution

The fourth proportional to 2,477.97, 3,718.76 and 1,996.83 is: 2,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.97 : 3,718.76 = 1,996.83 : x
  2. Step 2: Convert to fraction form
    2,477.97/3,718.76 = 1,996.83/x
  3. Step 3: Cross multiply
    2,477.97x = 3,718.76 × 1,996.83
  4. Step 4: Simplify right side
    2,477.97x = 7,425,721.55
  5. Step 5: Solve for x
    x = 7,425,721.55/2,477.97
  6. Step 6: Final answer
    x = 2,996.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.