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Finding the Fourth Proportional to 1,957, 2,696.08 and 1,366.48

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Solution

The fourth proportional to 1,957, 2,696.08 and 1,366.48 is: 1,882.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957 : 2,696.08 = 1,366.48 : x
  2. Step 2: Convert to fraction form
    1,957/2,696.08 = 1,366.48/x
  3. Step 3: Cross multiply
    1,957x = 2,696.08 × 1,366.48
  4. Step 4: Simplify right side
    1,957x = 3,684,139.40
  5. Step 5: Solve for x
    x = 3,684,139.40/1,957
  6. Step 6: Final answer
    x = 1,882.54

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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.