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Finding the Fourth Proportional to 2,029.86, 3,044.39 and 934.07

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Solution

The fourth proportional to 2,029.86, 3,044.39 and 934.07 is: 1,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.86 : 3,044.39 = 934.07 : x
  2. Step 2: Convert to fraction form
    2,029.86/3,044.39 = 934.07/x
  3. Step 3: Cross multiply
    2,029.86x = 3,044.39 × 934.07
  4. Step 4: Simplify right side
    2,029.86x = 2,843,653.48
  5. Step 5: Solve for x
    x = 2,843,653.48/2,029.86
  6. Step 6: Final answer
    x = 1,400.91

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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.