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Finding the Fourth Proportional to 2,204.81, 3,307.22 and 1,165.99

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Solution

The fourth proportional to 2,204.81, 3,307.22 and 1,165.99 is: 1,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.81 : 3,307.22 = 1,165.99 : x
  2. Step 2: Convert to fraction form
    2,204.81/3,307.22 = 1,165.99/x
  3. Step 3: Cross multiply
    2,204.81x = 3,307.22 × 1,165.99
  4. Step 4: Simplify right side
    2,204.81x = 3,856,171.35
  5. Step 5: Solve for x
    x = 3,856,171.35/2,204.81
  6. Step 6: Final answer
    x = 1,748.98

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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.