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Finding the Fourth Proportional to 1,696.94, 2,339.64 and 1,299.09

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Solution

The fourth proportional to 1,696.94, 2,339.64 and 1,299.09 is: 1,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.94 : 2,339.64 = 1,299.09 : x
  2. Step 2: Convert to fraction form
    1,696.94/2,339.64 = 1,299.09/x
  3. Step 3: Cross multiply
    1,696.94x = 2,339.64 × 1,299.09
  4. Step 4: Simplify right side
    1,696.94x = 3,039,402.93
  5. Step 5: Solve for x
    x = 3,039,402.93/1,696.94
  6. Step 6: Final answer
    x = 1,791.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.