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Finding the Fourth Proportional to 2,732.13, 4,097.66 and 783.88

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Solution

The fourth proportional to 2,732.13, 4,097.66 and 783.88 is: 1,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.13 : 4,097.66 = 783.88 : x
  2. Step 2: Convert to fraction form
    2,732.13/4,097.66 = 783.88/x
  3. Step 3: Cross multiply
    2,732.13x = 4,097.66 × 783.88
  4. Step 4: Simplify right side
    2,732.13x = 3,212,059.56
  5. Step 5: Solve for x
    x = 3,212,059.56/2,732.13
  6. Step 6: Final answer
    x = 1,175.66

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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.