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Finding the Fourth Proportional to 3,460.97, 4,776.39 and 1,969.37

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Solution

The fourth proportional to 3,460.97, 4,776.39 and 1,969.37 is: 2,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.97 : 4,776.39 = 1,969.37 : x
  2. Step 2: Convert to fraction form
    3,460.97/4,776.39 = 1,969.37/x
  3. Step 3: Cross multiply
    3,460.97x = 4,776.39 × 1,969.37
  4. Step 4: Simplify right side
    3,460.97x = 9,406,472.16
  5. Step 5: Solve for x
    x = 9,406,472.16/3,460.97
  6. Step 6: Final answer
    x = 2,717.87

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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.