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Finding the Fourth Proportional to 2,966.06, 4,092.71 and 1,770.68

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Solution

The fourth proportional to 2,966.06, 4,092.71 and 1,770.68 is: 2,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.06 : 4,092.71 = 1,770.68 : x
  2. Step 2: Convert to fraction form
    2,966.06/4,092.71 = 1,770.68/x
  3. Step 3: Cross multiply
    2,966.06x = 4,092.71 × 1,770.68
  4. Step 4: Simplify right side
    2,966.06x = 7,246,850.43
  5. Step 5: Solve for x
    x = 7,246,850.43/2,966.06
  6. Step 6: Final answer
    x = 2,443.26

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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.