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Finding the Fourth Proportional to 2,772.12, 4,154.12 and 1,291.80

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Solution

The fourth proportional to 2,772.12, 4,154.12 and 1,291.80 is: 1,935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.12 : 4,154.12 = 1,291.80 : x
  2. Step 2: Convert to fraction form
    2,772.12/4,154.12 = 1,291.80/x
  3. Step 3: Cross multiply
    2,772.12x = 4,154.12 × 1,291.80
  4. Step 4: Simplify right side
    2,772.12x = 5,366,292.22
  5. Step 5: Solve for x
    x = 5,366,292.22/2,772.12
  6. Step 6: Final answer
    x = 1,935.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.