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Finding the Fourth Proportional to 2,954.99, 4,077.92 and 1,696.43

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Solution

The fourth proportional to 2,954.99, 4,077.92 and 1,696.43 is: 2,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.99 : 4,077.92 = 1,696.43 : x
  2. Step 2: Convert to fraction form
    2,954.99/4,077.92 = 1,696.43/x
  3. Step 3: Cross multiply
    2,954.99x = 4,077.92 × 1,696.43
  4. Step 4: Simplify right side
    2,954.99x = 6,917,905.83
  5. Step 5: Solve for x
    x = 6,917,905.83/2,954.99
  6. Step 6: Final answer
    x = 2,341.09

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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.