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Finding the Fourth Proportional to 2,156.26, 3,229.15 and 1,229.02

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Solution

The fourth proportional to 2,156.26, 3,229.15 and 1,229.02 is: 1,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.26 : 3,229.15 = 1,229.02 : x
  2. Step 2: Convert to fraction form
    2,156.26/3,229.15 = 1,229.02/x
  3. Step 3: Cross multiply
    2,156.26x = 3,229.15 × 1,229.02
  4. Step 4: Simplify right side
    2,156.26x = 3,968,689.93
  5. Step 5: Solve for x
    x = 3,968,689.93/2,156.26
  6. Step 6: Final answer
    x = 1,840.54

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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.