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Finding the Fourth Proportional to 2,204.67, 3,307.01 and 1,107.93

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Solution

The fourth proportional to 2,204.67, 3,307.01 and 1,107.93 is: 1,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.67 : 3,307.01 = 1,107.93 : x
  2. Step 2: Convert to fraction form
    2,204.67/3,307.01 = 1,107.93/x
  3. Step 3: Cross multiply
    2,204.67x = 3,307.01 × 1,107.93
  4. Step 4: Simplify right side
    2,204.67x = 3,663,935.59
  5. Step 5: Solve for x
    x = 3,663,935.59/2,204.67
  6. Step 6: Final answer
    x = 1,661.90

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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.