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Finding the Fourth Proportional to 1,015.67, 1,522.49 and 941.11

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Solution

The fourth proportional to 1,015.67, 1,522.49 and 941.11 is: 1,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.67 : 1,522.49 = 941.11 : x
  2. Step 2: Convert to fraction form
    1,015.67/1,522.49 = 941.11/x
  3. Step 3: Cross multiply
    1,015.67x = 1,522.49 × 941.11
  4. Step 4: Simplify right side
    1,015.67x = 1,432,822.05
  5. Step 5: Solve for x
    x = 1,432,822.05/1,015.67
  6. Step 6: Final answer
    x = 1,410.71

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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.