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Finding the Fourth Proportional to 2,534.48, 3,800.74 and 1,217.39

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Solution

The fourth proportional to 2,534.48, 3,800.74 and 1,217.39 is: 1,825.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.48 : 3,800.74 = 1,217.39 : x
  2. Step 2: Convert to fraction form
    2,534.48/3,800.74 = 1,217.39/x
  3. Step 3: Cross multiply
    2,534.48x = 3,800.74 × 1,217.39
  4. Step 4: Simplify right side
    2,534.48x = 4,626,982.87
  5. Step 5: Solve for x
    x = 4,626,982.87/2,534.48
  6. Step 6: Final answer
    x = 1,825.61

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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.