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Finding the Fourth Proportional to 3,203.15, 4,806.22 and 1,354.70

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Solution

The fourth proportional to 3,203.15, 4,806.22 and 1,354.70 is: 2,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.15 : 4,806.22 = 1,354.70 : x
  2. Step 2: Convert to fraction form
    3,203.15/4,806.22 = 1,354.70/x
  3. Step 3: Cross multiply
    3,203.15x = 4,806.22 × 1,354.70
  4. Step 4: Simplify right side
    3,203.15x = 6,510,994.86
  5. Step 5: Solve for x
    x = 6,510,994.86/3,203.15
  6. Step 6: Final answer
    x = 2,032.68

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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.