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Finding the Fourth Proportional to 2,730.99, 4,098.51 and 2,029.82

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Solution

The fourth proportional to 2,730.99, 4,098.51 and 2,029.82 is: 3,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.99 : 4,098.51 = 2,029.82 : x
  2. Step 2: Convert to fraction form
    2,730.99/4,098.51 = 2,029.82/x
  3. Step 3: Cross multiply
    2,730.99x = 4,098.51 × 2,029.82
  4. Step 4: Simplify right side
    2,730.99x = 8,319,217.08
  5. Step 5: Solve for x
    x = 8,319,217.08/2,730.99
  6. Step 6: Final answer
    x = 3,046.23

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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.