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Finding the Fourth Proportional to 2,183.30, 3,266.95 and 1,607.30

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Solution

The fourth proportional to 2,183.30, 3,266.95 and 1,607.30 is: 2,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.30 : 3,266.95 = 1,607.30 : x
  2. Step 2: Convert to fraction form
    2,183.30/3,266.95 = 1,607.30/x
  3. Step 3: Cross multiply
    2,183.30x = 3,266.95 × 1,607.30
  4. Step 4: Simplify right side
    2,183.30x = 5,250,968.74
  5. Step 5: Solve for x
    x = 5,250,968.74/2,183.30
  6. Step 6: Final answer
    x = 2,405.06

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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.