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Finding the Fourth Proportional to 2,205.81, 3,307.05 and 1,901.25

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Solution

The fourth proportional to 2,205.81, 3,307.05 and 1,901.25 is: 2,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.81 : 3,307.05 = 1,901.25 : x
  2. Step 2: Convert to fraction form
    2,205.81/3,307.05 = 1,901.25/x
  3. Step 3: Cross multiply
    2,205.81x = 3,307.05 × 1,901.25
  4. Step 4: Simplify right side
    2,205.81x = 6,287,528.81
  5. Step 5: Solve for x
    x = 6,287,528.81/2,205.81
  6. Step 6: Final answer
    x = 2,850.44

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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.