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Finding the Fourth Proportional to 2,121.22, 3,181.80 and 582.22

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Solution

The fourth proportional to 2,121.22, 3,181.80 and 582.22 is: 873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.22 : 3,181.80 = 582.22 : x
  2. Step 2: Convert to fraction form
    2,121.22/3,181.80 = 582.22/x
  3. Step 3: Cross multiply
    2,121.22x = 3,181.80 × 582.22
  4. Step 4: Simplify right side
    2,121.22x = 1,852,507.60
  5. Step 5: Solve for x
    x = 1,852,507.60/2,121.22
  6. Step 6: Final answer
    x = 873.32

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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.