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Finding the Fourth Proportional to 2,684.48, 3,708.14 and 2,237.82

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Solution

The fourth proportional to 2,684.48, 3,708.14 and 2,237.82 is: 3,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.48 : 3,708.14 = 2,237.82 : x
  2. Step 2: Convert to fraction form
    2,684.48/3,708.14 = 2,237.82/x
  3. Step 3: Cross multiply
    2,684.48x = 3,708.14 × 2,237.82
  4. Step 4: Simplify right side
    2,684.48x = 8,298,149.85
  5. Step 5: Solve for x
    x = 8,298,149.85/2,684.48
  6. Step 6: Final answer
    x = 3,091.16

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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.