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Finding the Fourth Proportional to 2,967.39, 4,091.19 and 2,434.35

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Solution

The fourth proportional to 2,967.39, 4,091.19 and 2,434.35 is: 3,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.39 : 4,091.19 = 2,434.35 : x
  2. Step 2: Convert to fraction form
    2,967.39/4,091.19 = 2,434.35/x
  3. Step 3: Cross multiply
    2,967.39x = 4,091.19 × 2,434.35
  4. Step 4: Simplify right side
    2,967.39x = 9,959,388.38
  5. Step 5: Solve for x
    x = 9,959,388.38/2,967.39
  6. Step 6: Final answer
    x = 3,356.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.