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Finding the Fourth Proportional to 2,997.85, 4,496.54 and 1,241.77

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Solution

The fourth proportional to 2,997.85, 4,496.54 and 1,241.77 is: 1,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.85 : 4,496.54 = 1,241.77 : x
  2. Step 2: Convert to fraction form
    2,997.85/4,496.54 = 1,241.77/x
  3. Step 3: Cross multiply
    2,997.85x = 4,496.54 × 1,241.77
  4. Step 4: Simplify right side
    2,997.85x = 5,583,668.48
  5. Step 5: Solve for x
    x = 5,583,668.48/2,997.85
  6. Step 6: Final answer
    x = 1,862.56

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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.