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Finding the Fourth Proportional to 2,730.15, 4,096.98 and 998.73

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Solution

The fourth proportional to 2,730.15, 4,096.98 and 998.73 is: 1,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.15 : 4,096.98 = 998.73 : x
  2. Step 2: Convert to fraction form
    2,730.15/4,096.98 = 998.73/x
  3. Step 3: Cross multiply
    2,730.15x = 4,096.98 × 998.73
  4. Step 4: Simplify right side
    2,730.15x = 4,091,776.84
  5. Step 5: Solve for x
    x = 4,091,776.84/2,730.15
  6. Step 6: Final answer
    x = 1,498.74

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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.