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Finding the Fourth Proportional to 2,708.72, 3,738.74 and 1,633.18

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Solution

The fourth proportional to 2,708.72, 3,738.74 and 1,633.18 is: 2,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.72 : 3,738.74 = 1,633.18 : x
  2. Step 2: Convert to fraction form
    2,708.72/3,738.74 = 1,633.18/x
  3. Step 3: Cross multiply
    2,708.72x = 3,738.74 × 1,633.18
  4. Step 4: Simplify right side
    2,708.72x = 6,106,035.39
  5. Step 5: Solve for x
    x = 6,106,035.39/2,708.72
  6. Step 6: Final answer
    x = 2,254.21

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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.