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Finding the Fourth Proportional to 2,865.14, 4,288.13 and 1,632.22

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Solution

The fourth proportional to 2,865.14, 4,288.13 and 1,632.22 is: 2,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.14 : 4,288.13 = 1,632.22 : x
  2. Step 2: Convert to fraction form
    2,865.14/4,288.13 = 1,632.22/x
  3. Step 3: Cross multiply
    2,865.14x = 4,288.13 × 1,632.22
  4. Step 4: Simplify right side
    2,865.14x = 6,999,171.55
  5. Step 5: Solve for x
    x = 6,999,171.55/2,865.14
  6. Step 6: Final answer
    x = 2,442.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.