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Finding the Fourth Proportional to 2,286.69, 3,155.69 and 1,291.98

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Solution

The fourth proportional to 2,286.69, 3,155.69 and 1,291.98 is: 1,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.69 : 3,155.69 = 1,291.98 : x
  2. Step 2: Convert to fraction form
    2,286.69/3,155.69 = 1,291.98/x
  3. Step 3: Cross multiply
    2,286.69x = 3,155.69 × 1,291.98
  4. Step 4: Simplify right side
    2,286.69x = 4,077,072.59
  5. Step 5: Solve for x
    x = 4,077,072.59/2,286.69
  6. Step 6: Final answer
    x = 1,782.96

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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.