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Finding the Fourth Proportional to 2,837.49, 4,256.23 and 889.85

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Solution

The fourth proportional to 2,837.49, 4,256.23 and 889.85 is: 1,334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.49 : 4,256.23 = 889.85 : x
  2. Step 2: Convert to fraction form
    2,837.49/4,256.23 = 889.85/x
  3. Step 3: Cross multiply
    2,837.49x = 4,256.23 × 889.85
  4. Step 4: Simplify right side
    2,837.49x = 3,787,406.27
  5. Step 5: Solve for x
    x = 3,787,406.27/2,837.49
  6. Step 6: Final answer
    x = 1,334.77

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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.