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Finding the Fourth Proportional to 2,912.86, 4,367.01 and 1,525.23

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Solution

The fourth proportional to 2,912.86, 4,367.01 and 1,525.23 is: 2,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.86 : 4,367.01 = 1,525.23 : x
  2. Step 2: Convert to fraction form
    2,912.86/4,367.01 = 1,525.23/x
  3. Step 3: Cross multiply
    2,912.86x = 4,367.01 × 1,525.23
  4. Step 4: Simplify right side
    2,912.86x = 6,660,700.38
  5. Step 5: Solve for x
    x = 6,660,700.38/2,912.86
  6. Step 6: Final answer
    x = 2,286.65

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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.