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Finding the Fourth Proportional to 2,286.37, 3,152.88 and 1,865.37

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Solution

The fourth proportional to 2,286.37, 3,152.88 and 1,865.37 is: 2,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.37 : 3,152.88 = 1,865.37 : x
  2. Step 2: Convert to fraction form
    2,286.37/3,152.88 = 1,865.37/x
  3. Step 3: Cross multiply
    2,286.37x = 3,152.88 × 1,865.37
  4. Step 4: Simplify right side
    2,286.37x = 5,881,299.59
  5. Step 5: Solve for x
    x = 5,881,299.59/2,286.37
  6. Step 6: Final answer
    x = 2,572.33

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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.