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Finding the Fourth Proportional to 1,957.92, 2,933.56 and 1,379.60

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Solution

The fourth proportional to 1,957.92, 2,933.56 and 1,379.60 is: 2,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.92 : 2,933.56 = 1,379.60 : x
  2. Step 2: Convert to fraction form
    1,957.92/2,933.56 = 1,379.60/x
  3. Step 3: Cross multiply
    1,957.92x = 2,933.56 × 1,379.60
  4. Step 4: Simplify right side
    1,957.92x = 4,047,139.38
  5. Step 5: Solve for x
    x = 4,047,139.38/1,957.92
  6. Step 6: Final answer
    x = 2,067.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.