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Finding the Fourth Proportional to 2,325.96, 3,208.73 and 1,696.28

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Solution

The fourth proportional to 2,325.96, 3,208.73 and 1,696.28 is: 2,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.96 : 3,208.73 = 1,696.28 : x
  2. Step 2: Convert to fraction form
    2,325.96/3,208.73 = 1,696.28/x
  3. Step 3: Cross multiply
    2,325.96x = 3,208.73 × 1,696.28
  4. Step 4: Simplify right side
    2,325.96x = 5,442,880.00
  5. Step 5: Solve for x
    x = 5,442,880.00/2,325.96
  6. Step 6: Final answer
    x = 2,340.06

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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.