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Finding the Fourth Proportional to 2,285.41, 3,428.07 and 746.41

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Solution

The fourth proportional to 2,285.41, 3,428.07 and 746.41 is: 1,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.41 : 3,428.07 = 746.41 : x
  2. Step 2: Convert to fraction form
    2,285.41/3,428.07 = 746.41/x
  3. Step 3: Cross multiply
    2,285.41x = 3,428.07 × 746.41
  4. Step 4: Simplify right side
    2,285.41x = 2,558,745.73
  5. Step 5: Solve for x
    x = 2,558,745.73/2,285.41
  6. Step 6: Final answer
    x = 1,119.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.