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Finding the Fourth Proportional to 2,969.89, 4,085.40 and 2,850.01

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Solution

The fourth proportional to 2,969.89, 4,085.40 and 2,850.01 is: 3,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.89 : 4,085.40 = 2,850.01 : x
  2. Step 2: Convert to fraction form
    2,969.89/4,085.40 = 2,850.01/x
  3. Step 3: Cross multiply
    2,969.89x = 4,085.40 × 2,850.01
  4. Step 4: Simplify right side
    2,969.89x = 11,643,430.85
  5. Step 5: Solve for x
    x = 11,643,430.85/2,969.89
  6. Step 6: Final answer
    x = 3,920.49

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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.