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Finding the Fourth Proportional to 2,064, 3,092.89 and 1,241.37

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Solution

The fourth proportional to 2,064, 3,092.89 and 1,241.37 is: 1,860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064 : 3,092.89 = 1,241.37 : x
  2. Step 2: Convert to fraction form
    2,064/3,092.89 = 1,241.37/x
  3. Step 3: Cross multiply
    2,064x = 3,092.89 × 1,241.37
  4. Step 4: Simplify right side
    2,064x = 3,839,420.86
  5. Step 5: Solve for x
    x = 3,839,420.86/2,064
  6. Step 6: Final answer
    x = 1,860.18

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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.