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Finding the Fourth Proportional to 2,730.74, 4,096.10 and 782.96

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Solution

The fourth proportional to 2,730.74, 4,096.10 and 782.96 is: 1,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.74 : 4,096.10 = 782.96 : x
  2. Step 2: Convert to fraction form
    2,730.74/4,096.10 = 782.96/x
  3. Step 3: Cross multiply
    2,730.74x = 4,096.10 × 782.96
  4. Step 4: Simplify right side
    2,730.74x = 3,207,063.93
  5. Step 5: Solve for x
    x = 3,207,063.93/2,730.74
  6. Step 6: Final answer
    x = 1,174.43

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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.