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Finding the Fourth Proportional to 2,225.96, 3,338.68 and 582.66

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Solution

The fourth proportional to 2,225.96, 3,338.68 and 582.66 is: 873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.96 : 3,338.68 = 582.66 : x
  2. Step 2: Convert to fraction form
    2,225.96/3,338.68 = 582.66/x
  3. Step 3: Cross multiply
    2,225.96x = 3,338.68 × 582.66
  4. Step 4: Simplify right side
    2,225.96x = 1,945,315.29
  5. Step 5: Solve for x
    x = 1,945,315.29/2,225.96
  6. Step 6: Final answer
    x = 873.92

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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.