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Finding the Fourth Proportional to 2,733.48, 4,100.24 and 1,696.50

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Solution

The fourth proportional to 2,733.48, 4,100.24 and 1,696.50 is: 2,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.48 : 4,100.24 = 1,696.50 : x
  2. Step 2: Convert to fraction form
    2,733.48/4,100.24 = 1,696.50/x
  3. Step 3: Cross multiply
    2,733.48x = 4,100.24 × 1,696.50
  4. Step 4: Simplify right side
    2,733.48x = 6,956,057.16
  5. Step 5: Solve for x
    x = 6,956,057.16/2,733.48
  6. Step 6: Final answer
    x = 2,544.76

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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.