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Finding the Fourth Proportional to 2,621.68, 3,930.06 and 977.82

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Solution

The fourth proportional to 2,621.68, 3,930.06 and 977.82 is: 1,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.68 : 3,930.06 = 977.82 : x
  2. Step 2: Convert to fraction form
    2,621.68/3,930.06 = 977.82/x
  3. Step 3: Cross multiply
    2,621.68x = 3,930.06 × 977.82
  4. Step 4: Simplify right side
    2,621.68x = 3,842,891.27
  5. Step 5: Solve for x
    x = 3,842,891.27/2,621.68
  6. Step 6: Final answer
    x = 1,465.81

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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.