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Finding the Fourth Proportional to 2,286.83, 3,156 and 1,292.22

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Solution

The fourth proportional to 2,286.83, 3,156 and 1,292.22 is: 1,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.83 : 3,156 = 1,292.22 : x
  2. Step 2: Convert to fraction form
    2,286.83/3,156 = 1,292.22/x
  3. Step 3: Cross multiply
    2,286.83x = 3,156 × 1,292.22
  4. Step 4: Simplify right side
    2,286.83x = 4,078,246.32
  5. Step 5: Solve for x
    x = 4,078,246.32/2,286.83
  6. Step 6: Final answer
    x = 1,783.36

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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.