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Finding the Fourth Proportional to 2,533.41, 3,801.74 and 2,189.16

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Solution

The fourth proportional to 2,533.41, 3,801.74 and 2,189.16 is: 3,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.41 : 3,801.74 = 2,189.16 : x
  2. Step 2: Convert to fraction form
    2,533.41/3,801.74 = 2,189.16/x
  3. Step 3: Cross multiply
    2,533.41x = 3,801.74 × 2,189.16
  4. Step 4: Simplify right side
    2,533.41x = 8,322,606.19
  5. Step 5: Solve for x
    x = 8,322,606.19/2,533.41
  6. Step 6: Final answer
    x = 3,285.14

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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.