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Finding the Fourth Proportional to 2,977.65, 4,109.25 and 1,651.27

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Solution

The fourth proportional to 2,977.65, 4,109.25 and 1,651.27 is: 2,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.65 : 4,109.25 = 1,651.27 : x
  2. Step 2: Convert to fraction form
    2,977.65/4,109.25 = 1,651.27/x
  3. Step 3: Cross multiply
    2,977.65x = 4,109.25 × 1,651.27
  4. Step 4: Simplify right side
    2,977.65x = 6,785,481.25
  5. Step 5: Solve for x
    x = 6,785,481.25/2,977.65
  6. Step 6: Final answer
    x = 2,278.80

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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.