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Finding the Fourth Proportional to 2,969.16, 4,097.97 and 1,790.88

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Solution

The fourth proportional to 2,969.16, 4,097.97 and 1,790.88 is: 2,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.16 : 4,097.97 = 1,790.88 : x
  2. Step 2: Convert to fraction form
    2,969.16/4,097.97 = 1,790.88/x
  3. Step 3: Cross multiply
    2,969.16x = 4,097.97 × 1,790.88
  4. Step 4: Simplify right side
    2,969.16x = 7,338,972.51
  5. Step 5: Solve for x
    x = 7,338,972.51/2,969.16
  6. Step 6: Final answer
    x = 2,471.73

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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.