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Finding the Fourth Proportional to 1,696.52, 2,342.34 and 1,137.82

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Solution

The fourth proportional to 1,696.52, 2,342.34 and 1,137.82 is: 1,570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.52 : 2,342.34 = 1,137.82 : x
  2. Step 2: Convert to fraction form
    1,696.52/2,342.34 = 1,137.82/x
  3. Step 3: Cross multiply
    1,696.52x = 2,342.34 × 1,137.82
  4. Step 4: Simplify right side
    1,696.52x = 2,665,161.30
  5. Step 5: Solve for x
    x = 2,665,161.30/1,696.52
  6. Step 6: Final answer
    x = 1,570.96

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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.