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Finding the Fourth Proportional to 2,746.41, 3,790.19 and 1,567.86

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Solution

The fourth proportional to 2,746.41, 3,790.19 and 1,567.86 is: 2,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.41 : 3,790.19 = 1,567.86 : x
  2. Step 2: Convert to fraction form
    2,746.41/3,790.19 = 1,567.86/x
  3. Step 3: Cross multiply
    2,746.41x = 3,790.19 × 1,567.86
  4. Step 4: Simplify right side
    2,746.41x = 5,942,477.00
  5. Step 5: Solve for x
    x = 5,942,477.00/2,746.41
  6. Step 6: Final answer
    x = 2,163.73

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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.