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Finding the Fourth Proportional to 2,730.90, 4,093.10 and 1,498.88

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Solution

The fourth proportional to 2,730.90, 4,093.10 and 1,498.88 is: 2,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.90 : 4,093.10 = 1,498.88 : x
  2. Step 2: Convert to fraction form
    2,730.90/4,093.10 = 1,498.88/x
  3. Step 3: Cross multiply
    2,730.90x = 4,093.10 × 1,498.88
  4. Step 4: Simplify right side
    2,730.90x = 6,135,065.73
  5. Step 5: Solve for x
    x = 6,135,065.73/2,730.90
  6. Step 6: Final answer
    x = 2,246.54

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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.