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Finding the Fourth Proportional to 2,969.21, 4,098.77 and 1,850.70

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Solution

The fourth proportional to 2,969.21, 4,098.77 and 1,850.70 is: 2,554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.21 : 4,098.77 = 1,850.70 : x
  2. Step 2: Convert to fraction form
    2,969.21/4,098.77 = 1,850.70/x
  3. Step 3: Cross multiply
    2,969.21x = 4,098.77 × 1,850.70
  4. Step 4: Simplify right side
    2,969.21x = 7,585,584.39
  5. Step 5: Solve for x
    x = 7,585,584.39/2,969.21
  6. Step 6: Final answer
    x = 2,554.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.