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Finding the Fourth Proportional to 2,162.72, 3,258.56 and 1,957.52

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Solution

The fourth proportional to 2,162.72, 3,258.56 and 1,957.52 is: 2,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.72 : 3,258.56 = 1,957.52 : x
  2. Step 2: Convert to fraction form
    2,162.72/3,258.56 = 1,957.52/x
  3. Step 3: Cross multiply
    2,162.72x = 3,258.56 × 1,957.52
  4. Step 4: Simplify right side
    2,162.72x = 6,378,696.37
  5. Step 5: Solve for x
    x = 6,378,696.37/2,162.72
  6. Step 6: Final answer
    x = 2,949.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.