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Finding the Fourth Proportional to 2,629.65, 3,942.18 and 985.76

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Solution

The fourth proportional to 2,629.65, 3,942.18 and 985.76 is: 1,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.65 : 3,942.18 = 985.76 : x
  2. Step 2: Convert to fraction form
    2,629.65/3,942.18 = 985.76/x
  3. Step 3: Cross multiply
    2,629.65x = 3,942.18 × 985.76
  4. Step 4: Simplify right side
    2,629.65x = 3,886,023.65
  5. Step 5: Solve for x
    x = 3,886,023.65/2,629.65
  6. Step 6: Final answer
    x = 1,477.77

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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.