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Finding the Fourth Proportional to 2,206.53, 3,303.41 and 2,167.65

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Solution

The fourth proportional to 2,206.53, 3,303.41 and 2,167.65 is: 3,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.53 : 3,303.41 = 2,167.65 : x
  2. Step 2: Convert to fraction form
    2,206.53/3,303.41 = 2,167.65/x
  3. Step 3: Cross multiply
    2,206.53x = 3,303.41 × 2,167.65
  4. Step 4: Simplify right side
    2,206.53x = 7,160,625.85
  5. Step 5: Solve for x
    x = 7,160,625.85/2,206.53
  6. Step 6: Final answer
    x = 3,245.20

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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.