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Finding the Fourth Proportional to 2,785.19, 3,838.19 and 2,286.23

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Solution

The fourth proportional to 2,785.19, 3,838.19 and 2,286.23 is: 3,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.19 : 3,838.19 = 2,286.23 : x
  2. Step 2: Convert to fraction form
    2,785.19/3,838.19 = 2,286.23/x
  3. Step 3: Cross multiply
    2,785.19x = 3,838.19 × 2,286.23
  4. Step 4: Simplify right side
    2,785.19x = 8,774,954.50
  5. Step 5: Solve for x
    x = 8,774,954.50/2,785.19
  6. Step 6: Final answer
    x = 3,150.58

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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.