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Finding the Fourth Proportional to 2,029.61, 3,044.59 and 642.92

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Solution

The fourth proportional to 2,029.61, 3,044.59 and 642.92 is: 964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.61 : 3,044.59 = 642.92 : x
  2. Step 2: Convert to fraction form
    2,029.61/3,044.59 = 642.92/x
  3. Step 3: Cross multiply
    2,029.61x = 3,044.59 × 642.92
  4. Step 4: Simplify right side
    2,029.61x = 1,957,410.97
  5. Step 5: Solve for x
    x = 1,957,410.97/2,029.61
  6. Step 6: Final answer
    x = 964.43

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