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Finding the Fourth Proportional to 1,974.99, 2,723.45 and 1,696.15

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Solution

The fourth proportional to 1,974.99, 2,723.45 and 1,696.15 is: 2,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.99 : 2,723.45 = 1,696.15 : x
  2. Step 2: Convert to fraction form
    1,974.99/2,723.45 = 1,696.15/x
  3. Step 3: Cross multiply
    1,974.99x = 2,723.45 × 1,696.15
  4. Step 4: Simplify right side
    1,974.99x = 4,619,364.43
  5. Step 5: Solve for x
    x = 4,619,364.43/1,974.99
  6. Step 6: Final answer
    x = 2,338.93

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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.