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Finding the Fourth Proportional to 1,942.61, 2,913.92 and 709.51

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Solution

The fourth proportional to 1,942.61, 2,913.92 and 709.51 is: 1,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.61 : 2,913.92 = 709.51 : x
  2. Step 2: Convert to fraction form
    1,942.61/2,913.92 = 709.51/x
  3. Step 3: Cross multiply
    1,942.61x = 2,913.92 × 709.51
  4. Step 4: Simplify right side
    1,942.61x = 2,067,456.66
  5. Step 5: Solve for x
    x = 2,067,456.66/1,942.61
  6. Step 6: Final answer
    x = 1,064.27

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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.