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Finding the Fourth Proportional to 2,731.39, 4,097.69 and 783.44

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Solution

The fourth proportional to 2,731.39, 4,097.69 and 783.44 is: 1,175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.39 : 4,097.69 = 783.44 : x
  2. Step 2: Convert to fraction form
    2,731.39/4,097.69 = 783.44/x
  3. Step 3: Cross multiply
    2,731.39x = 4,097.69 × 783.44
  4. Step 4: Simplify right side
    2,731.39x = 3,210,294.25
  5. Step 5: Solve for x
    x = 3,210,294.25/2,731.39
  6. Step 6: Final answer
    x = 1,175.33

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1.5x scale

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.