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Finding the Fourth Proportional to 2,685.98, 3,708.38 and 2,189.81

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Solution

The fourth proportional to 2,685.98, 3,708.38 and 2,189.81 is: 3,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.98 : 3,708.38 = 2,189.81 : x
  2. Step 2: Convert to fraction form
    2,685.98/3,708.38 = 2,189.81/x
  3. Step 3: Cross multiply
    2,685.98x = 3,708.38 × 2,189.81
  4. Step 4: Simplify right side
    2,685.98x = 8,120,647.61
  5. Step 5: Solve for x
    x = 8,120,647.61/2,685.98
  6. Step 6: Final answer
    x = 3,023.35

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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.