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Finding the Fourth Proportional to 3,201.66, 4,795.61 and 1,737.72

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Solution

The fourth proportional to 3,201.66, 4,795.61 and 1,737.72 is: 2,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.66 : 4,795.61 = 1,737.72 : x
  2. Step 2: Convert to fraction form
    3,201.66/4,795.61 = 1,737.72/x
  3. Step 3: Cross multiply
    3,201.66x = 4,795.61 × 1,737.72
  4. Step 4: Simplify right side
    3,201.66x = 8,333,418.72
  5. Step 5: Solve for x
    x = 8,333,418.72/3,201.66
  6. Step 6: Final answer
    x = 2,602.84

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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.