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Finding the Fourth Proportional to 2,708.48, 3,735.78 and 2,292.68

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Solution

The fourth proportional to 2,708.48, 3,735.78 and 2,292.68 is: 3,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.48 : 3,735.78 = 2,292.68 : x
  2. Step 2: Convert to fraction form
    2,708.48/3,735.78 = 2,292.68/x
  3. Step 3: Cross multiply
    2,708.48x = 3,735.78 × 2,292.68
  4. Step 4: Simplify right side
    2,708.48x = 8,564,948.09
  5. Step 5: Solve for x
    x = 8,564,948.09/2,708.48
  6. Step 6: Final answer
    x = 3,162.27

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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.