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Finding the Fourth Proportional to 1,447.88, 2,172.12 and 582.20

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Solution

The fourth proportional to 1,447.88, 2,172.12 and 582.20 is: 873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.88 : 2,172.12 = 582.20 : x
  2. Step 2: Convert to fraction form
    1,447.88/2,172.12 = 582.20/x
  3. Step 3: Cross multiply
    1,447.88x = 2,172.12 × 582.20
  4. Step 4: Simplify right side
    1,447.88x = 1,264,608.26
  5. Step 5: Solve for x
    x = 1,264,608.26/1,447.88
  6. Step 6: Final answer
    x = 873.42

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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.