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Finding the Fourth Proportional to 2,731.50, 4,097.22 and 783.70

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Solution

The fourth proportional to 2,731.50, 4,097.22 and 783.70 is: 1,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.50 : 4,097.22 = 783.70 : x
  2. Step 2: Convert to fraction form
    2,731.50/4,097.22 = 783.70/x
  3. Step 3: Cross multiply
    2,731.50x = 4,097.22 × 783.70
  4. Step 4: Simplify right side
    2,731.50x = 3,210,991.31
  5. Step 5: Solve for x
    x = 3,210,991.31/2,731.50
  6. Step 6: Final answer
    x = 1,175.54

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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.