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Finding the Fourth Proportional to 2,523.96, 3,484.14 and 1,696.44

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Solution

The fourth proportional to 2,523.96, 3,484.14 and 1,696.44 is: 2,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.96 : 3,484.14 = 1,696.44 : x
  2. Step 2: Convert to fraction form
    2,523.96/3,484.14 = 1,696.44/x
  3. Step 3: Cross multiply
    2,523.96x = 3,484.14 × 1,696.44
  4. Step 4: Simplify right side
    2,523.96x = 5,910,634.46
  5. Step 5: Solve for x
    x = 5,910,634.46/2,523.96
  6. Step 6: Final answer
    x = 2,341.81

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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.