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Finding the Fourth Proportional to 2,566.96, 3,834.02 and 2,221.36

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Solution

The fourth proportional to 2,566.96, 3,834.02 and 2,221.36 is: 3,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.96 : 3,834.02 = 2,221.36 : x
  2. Step 2: Convert to fraction form
    2,566.96/3,834.02 = 2,221.36/x
  3. Step 3: Cross multiply
    2,566.96x = 3,834.02 × 2,221.36
  4. Step 4: Simplify right side
    2,566.96x = 8,516,738.67
  5. Step 5: Solve for x
    x = 8,516,738.67/2,566.96
  6. Step 6: Final answer
    x = 3,317.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.