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Finding the Fourth Proportional to 2,688.39, 3,707.39 and 1,743.83

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Solution

The fourth proportional to 2,688.39, 3,707.39 and 1,743.83 is: 2,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.39 : 3,707.39 = 1,743.83 : x
  2. Step 2: Convert to fraction form
    2,688.39/3,707.39 = 1,743.83/x
  3. Step 3: Cross multiply
    2,688.39x = 3,707.39 × 1,743.83
  4. Step 4: Simplify right side
    2,688.39x = 6,465,074.61
  5. Step 5: Solve for x
    x = 6,465,074.61/2,688.39
  6. Step 6: Final answer
    x = 2,404.82

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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.