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Finding the Fourth Proportional to 2,189.65, 3,281.74 and 1,094.32

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Solution

The fourth proportional to 2,189.65, 3,281.74 and 1,094.32 is: 1,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.65 : 3,281.74 = 1,094.32 : x
  2. Step 2: Convert to fraction form
    2,189.65/3,281.74 = 1,094.32/x
  3. Step 3: Cross multiply
    2,189.65x = 3,281.74 × 1,094.32
  4. Step 4: Simplify right side
    2,189.65x = 3,591,270.98
  5. Step 5: Solve for x
    x = 3,591,270.98/2,189.65
  6. Step 6: Final answer
    x = 1,640.11

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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.