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Finding the Fourth Proportional to 3,092.68, 4,638.62 and 784.04

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Solution

The fourth proportional to 3,092.68, 4,638.62 and 784.04 is: 1,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.68 : 4,638.62 = 784.04 : x
  2. Step 2: Convert to fraction form
    3,092.68/4,638.62 = 784.04/x
  3. Step 3: Cross multiply
    3,092.68x = 4,638.62 × 784.04
  4. Step 4: Simplify right side
    3,092.68x = 3,636,863.62
  5. Step 5: Solve for x
    x = 3,636,863.62/3,092.68
  6. Step 6: Final answer
    x = 1,175.96

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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.