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Finding the Fourth Proportional to 1,939.15, 2,909.07 and 708.29

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Solution

The fourth proportional to 1,939.15, 2,909.07 and 708.29 is: 1,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.15 : 2,909.07 = 708.29 : x
  2. Step 2: Convert to fraction form
    1,939.15/2,909.07 = 708.29/x
  3. Step 3: Cross multiply
    1,939.15x = 2,909.07 × 708.29
  4. Step 4: Simplify right side
    1,939.15x = 2,060,465.19
  5. Step 5: Solve for x
    x = 2,060,465.19/1,939.15
  6. Step 6: Final answer
    x = 1,062.56

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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.