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Finding the Fourth Proportional to 2,746.62, 3,790.80 and 1,567.80

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Solution

The fourth proportional to 2,746.62, 3,790.80 and 1,567.80 is: 2,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.62 : 3,790.80 = 1,567.80 : x
  2. Step 2: Convert to fraction form
    2,746.62/3,790.80 = 1,567.80/x
  3. Step 3: Cross multiply
    2,746.62x = 3,790.80 × 1,567.80
  4. Step 4: Simplify right side
    2,746.62x = 5,943,216.24
  5. Step 5: Solve for x
    x = 5,943,216.24/2,746.62
  6. Step 6: Final answer
    x = 2,163.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.