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Finding the Fourth Proportional to 2,867.94, 3,951.81 and 2,306.16

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Solution

The fourth proportional to 2,867.94, 3,951.81 and 2,306.16 is: 3,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.94 : 3,951.81 = 2,306.16 : x
  2. Step 2: Convert to fraction form
    2,867.94/3,951.81 = 2,306.16/x
  3. Step 3: Cross multiply
    2,867.94x = 3,951.81 × 2,306.16
  4. Step 4: Simplify right side
    2,867.94x = 9,113,506.15
  5. Step 5: Solve for x
    x = 9,113,506.15/2,867.94
  6. Step 6: Final answer
    x = 3,177.72

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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.