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Finding the Fourth Proportional to 3,193.50, 4,790.22 and 1,741.89

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Solution

The fourth proportional to 3,193.50, 4,790.22 and 1,741.89 is: 2,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.50 : 4,790.22 = 1,741.89 : x
  2. Step 2: Convert to fraction form
    3,193.50/4,790.22 = 1,741.89/x
  3. Step 3: Cross multiply
    3,193.50x = 4,790.22 × 1,741.89
  4. Step 4: Simplify right side
    3,193.50x = 8,344,036.32
  5. Step 5: Solve for x
    x = 8,344,036.32/3,193.50
  6. Step 6: Final answer
    x = 2,612.82

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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.