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Finding the Fourth Proportional to 2,122.92, 3,181.91 and 1,147.32

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Solution

The fourth proportional to 2,122.92, 3,181.91 and 1,147.32 is: 1,719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.92 : 3,181.91 = 1,147.32 : x
  2. Step 2: Convert to fraction form
    2,122.92/3,181.91 = 1,147.32/x
  3. Step 3: Cross multiply
    2,122.92x = 3,181.91 × 1,147.32
  4. Step 4: Simplify right side
    2,122.92x = 3,650,663.24
  5. Step 5: Solve for x
    x = 3,650,663.24/2,122.92
  6. Step 6: Final answer
    x = 1,719.64

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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.