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Finding the Fourth Proportional to 2,326.06, 3,207.03 and 1,696.09

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Solution

The fourth proportional to 2,326.06, 3,207.03 and 1,696.09 is: 2,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.06 : 3,207.03 = 1,696.09 : x
  2. Step 2: Convert to fraction form
    2,326.06/3,207.03 = 1,696.09/x
  3. Step 3: Cross multiply
    2,326.06x = 3,207.03 × 1,696.09
  4. Step 4: Simplify right side
    2,326.06x = 5,439,411.51
  5. Step 5: Solve for x
    x = 5,439,411.51/2,326.06
  6. Step 6: Final answer
    x = 2,338.47

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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.