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Finding the Fourth Proportional to 1,966.69, 2,708.43 and 1,791.46

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Solution

The fourth proportional to 1,966.69, 2,708.43 and 1,791.46 is: 2,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.69 : 2,708.43 = 1,791.46 : x
  2. Step 2: Convert to fraction form
    1,966.69/2,708.43 = 1,791.46/x
  3. Step 3: Cross multiply
    1,966.69x = 2,708.43 × 1,791.46
  4. Step 4: Simplify right side
    1,966.69x = 4,852,030.47
  5. Step 5: Solve for x
    x = 4,852,030.47/1,966.69
  6. Step 6: Final answer
    x = 2,467.11

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