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Finding the Fourth Proportional to 2,761.16, 4,140.86 and 911.93

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Solution

The fourth proportional to 2,761.16, 4,140.86 and 911.93 is: 1,367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.16 : 4,140.86 = 911.93 : x
  2. Step 2: Convert to fraction form
    2,761.16/4,140.86 = 911.93/x
  3. Step 3: Cross multiply
    2,761.16x = 4,140.86 × 911.93
  4. Step 4: Simplify right side
    2,761.16x = 3,776,149.20
  5. Step 5: Solve for x
    x = 3,776,149.20/2,761.16
  6. Step 6: Final answer
    x = 1,367.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.