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Finding the Fourth Proportional to 2,225.76, 3,338.67 and 582.32

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Solution

The fourth proportional to 2,225.76, 3,338.67 and 582.32 is: 873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.76 : 3,338.67 = 582.32 : x
  2. Step 2: Convert to fraction form
    2,225.76/3,338.67 = 582.32/x
  3. Step 3: Cross multiply
    2,225.76x = 3,338.67 × 582.32
  4. Step 4: Simplify right side
    2,225.76x = 1,944,157.62
  5. Step 5: Solve for x
    x = 1,944,157.62/2,225.76
  6. Step 6: Final answer
    x = 873.48

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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.