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Finding the Fourth Proportional to 3,149.66, 4,721.25 and 1,201.34

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Solution

The fourth proportional to 3,149.66, 4,721.25 and 1,201.34 is: 1,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.66 : 4,721.25 = 1,201.34 : x
  2. Step 2: Convert to fraction form
    3,149.66/4,721.25 = 1,201.34/x
  3. Step 3: Cross multiply
    3,149.66x = 4,721.25 × 1,201.34
  4. Step 4: Simplify right side
    3,149.66x = 5,671,826.48
  5. Step 5: Solve for x
    x = 5,671,826.48/3,149.66
  6. Step 6: Final answer
    x = 1,800.77

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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.