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Finding the Fourth Proportional to 1,696.09, 2,542.54 and 1,278.98

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Solution

The fourth proportional to 1,696.09, 2,542.54 and 1,278.98 is: 1,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.09 : 2,542.54 = 1,278.98 : x
  2. Step 2: Convert to fraction form
    1,696.09/2,542.54 = 1,278.98/x
  3. Step 3: Cross multiply
    1,696.09x = 2,542.54 × 1,278.98
  4. Step 4: Simplify right side
    1,696.09x = 3,251,857.81
  5. Step 5: Solve for x
    x = 3,251,857.81/1,696.09
  6. Step 6: Final answer
    x = 1,917.27

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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.