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Finding the Fourth Proportional to 2,305.62, 3,181.36 and 2,188.86

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Solution

The fourth proportional to 2,305.62, 3,181.36 and 2,188.86 is: 3,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.62 : 3,181.36 = 2,188.86 : x
  2. Step 2: Convert to fraction form
    2,305.62/3,181.36 = 2,188.86/x
  3. Step 3: Cross multiply
    2,305.62x = 3,181.36 × 2,188.86
  4. Step 4: Simplify right side
    2,305.62x = 6,963,551.65
  5. Step 5: Solve for x
    x = 6,963,551.65/2,305.62
  6. Step 6: Final answer
    x = 3,020.25

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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.