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Finding the Fourth Proportional to 2,183.61, 3,014.80 and 1,438.83

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Solution

The fourth proportional to 2,183.61, 3,014.80 and 1,438.83 is: 1,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.61 : 3,014.80 = 1,438.83 : x
  2. Step 2: Convert to fraction form
    2,183.61/3,014.80 = 1,438.83/x
  3. Step 3: Cross multiply
    2,183.61x = 3,014.80 × 1,438.83
  4. Step 4: Simplify right side
    2,183.61x = 4,337,784.68
  5. Step 5: Solve for x
    x = 4,337,784.68/2,183.61
  6. Step 6: Final answer
    x = 1,986.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.