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Finding the Fourth Proportional to 2,838.78, 4,256.67 and 890.46

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Solution

The fourth proportional to 2,838.78, 4,256.67 and 890.46 is: 1,335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.78 : 4,256.67 = 890.46 : x
  2. Step 2: Convert to fraction form
    2,838.78/4,256.67 = 890.46/x
  3. Step 3: Cross multiply
    2,838.78x = 4,256.67 × 890.46
  4. Step 4: Simplify right side
    2,838.78x = 3,790,394.37
  5. Step 5: Solve for x
    x = 3,790,394.37/2,838.78
  6. Step 6: Final answer
    x = 1,335.22

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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.