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Finding the Fourth Proportional to 1,650.13, 2,277.13 and 941.96

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Solution

The fourth proportional to 1,650.13, 2,277.13 and 941.96 is: 1,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.13 : 2,277.13 = 941.96 : x
  2. Step 2: Convert to fraction form
    1,650.13/2,277.13 = 941.96/x
  3. Step 3: Cross multiply
    1,650.13x = 2,277.13 × 941.96
  4. Step 4: Simplify right side
    1,650.13x = 2,144,949.28
  5. Step 5: Solve for x
    x = 2,144,949.28/1,650.13
  6. Step 6: Final answer
    x = 1,299.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.