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Finding the Fourth Proportional to 2,731.69, 4,097.58 and 783.90

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Solution

The fourth proportional to 2,731.69, 4,097.58 and 783.90 is: 1,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.69 : 4,097.58 = 783.90 : x
  2. Step 2: Convert to fraction form
    2,731.69/4,097.58 = 783.90/x
  3. Step 3: Cross multiply
    2,731.69x = 4,097.58 × 783.90
  4. Step 4: Simplify right side
    2,731.69x = 3,212,092.96
  5. Step 5: Solve for x
    x = 3,212,092.96/2,731.69
  6. Step 6: Final answer
    x = 1,175.86

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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.