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Finding the Fourth Proportional to 2,562.26, 3,846.42 and 2,156.45

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Solution

The fourth proportional to 2,562.26, 3,846.42 and 2,156.45 is: 3,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.26 : 3,846.42 = 2,156.45 : x
  2. Step 2: Convert to fraction form
    2,562.26/3,846.42 = 2,156.45/x
  3. Step 3: Cross multiply
    2,562.26x = 3,846.42 × 2,156.45
  4. Step 4: Simplify right side
    2,562.26x = 8,294,593.18
  5. Step 5: Solve for x
    x = 8,294,593.18/2,562.26
  6. Step 6: Final answer
    x = 3,237.22

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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.