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Finding the Fourth Proportional to 2,746.62, 3,790.61 and 1,567.87

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Solution

The fourth proportional to 2,746.62, 3,790.61 and 1,567.87 is: 2,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.62 : 3,790.61 = 1,567.87 : x
  2. Step 2: Convert to fraction form
    2,746.62/3,790.61 = 1,567.87/x
  3. Step 3: Cross multiply
    2,746.62x = 3,790.61 × 1,567.87
  4. Step 4: Simplify right side
    2,746.62x = 5,943,183.70
  5. Step 5: Solve for x
    x = 5,943,183.70/2,746.62
  6. Step 6: Final answer
    x = 2,163.82

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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.