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Finding the Fourth Proportional to 2,977.67, 4,109.13 and 1,651.37

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Solution

The fourth proportional to 2,977.67, 4,109.13 and 1,651.37 is: 2,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.67 : 4,109.13 = 1,651.37 : x
  2. Step 2: Convert to fraction form
    2,977.67/4,109.13 = 1,651.37/x
  3. Step 3: Cross multiply
    2,977.67x = 4,109.13 × 1,651.37
  4. Step 4: Simplify right side
    2,977.67x = 6,785,673.46
  5. Step 5: Solve for x
    x = 6,785,673.46/2,977.67
  6. Step 6: Final answer
    x = 2,278.85

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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.