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Finding the Fourth Proportional to 2,632.70, 3,946.39 and 1,708.85

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Solution

The fourth proportional to 2,632.70, 3,946.39 and 1,708.85 is: 2,561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.70 : 3,946.39 = 1,708.85 : x
  2. Step 2: Convert to fraction form
    2,632.70/3,946.39 = 1,708.85/x
  3. Step 3: Cross multiply
    2,632.70x = 3,946.39 × 1,708.85
  4. Step 4: Simplify right side
    2,632.70x = 6,743,788.55
  5. Step 5: Solve for x
    x = 6,743,788.55/2,632.70
  6. Step 6: Final answer
    x = 2,561.55

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