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Finding the Fourth Proportional to 3,183.18, 4,774.95 and 1,235.22

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Solution

The fourth proportional to 3,183.18, 4,774.95 and 1,235.22 is: 1,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.18 : 4,774.95 = 1,235.22 : x
  2. Step 2: Convert to fraction form
    3,183.18/4,774.95 = 1,235.22/x
  3. Step 3: Cross multiply
    3,183.18x = 4,774.95 × 1,235.22
  4. Step 4: Simplify right side
    3,183.18x = 5,898,113.74
  5. Step 5: Solve for x
    x = 5,898,113.74/3,183.18
  6. Step 6: Final answer
    x = 1,852.90

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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.