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Finding the Fourth Proportional to 3,460.71, 4,769.87 and 2,324.33

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Solution

The fourth proportional to 3,460.71, 4,769.87 and 2,324.33 is: 3,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.71 : 4,769.87 = 2,324.33 : x
  2. Step 2: Convert to fraction form
    3,460.71/4,769.87 = 2,324.33/x
  3. Step 3: Cross multiply
    3,460.71x = 4,769.87 × 2,324.33
  4. Step 4: Simplify right side
    3,460.71x = 11,086,716.47
  5. Step 5: Solve for x
    x = 11,086,716.47/3,460.71
  6. Step 6: Final answer
    x = 3,203.60

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1.5x scale

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.