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Finding the Fourth Proportional to 2,969.03, 4,097.09 and 1,642.65

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Solution

The fourth proportional to 2,969.03, 4,097.09 and 1,642.65 is: 2,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.03 : 4,097.09 = 1,642.65 : x
  2. Step 2: Convert to fraction form
    2,969.03/4,097.09 = 1,642.65/x
  3. Step 3: Cross multiply
    2,969.03x = 4,097.09 × 1,642.65
  4. Step 4: Simplify right side
    2,969.03x = 6,730,076.68
  5. Step 5: Solve for x
    x = 6,730,076.68/2,969.03
  6. Step 6: Final answer
    x = 2,266.76

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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.