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Finding the Fourth Proportional to 4,469.77, 6,700.85 and 1,969.08

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Solution

The fourth proportional to 4,469.77, 6,700.85 and 1,969.08 is: 2,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.77 : 6,700.85 = 1,969.08 : x
  2. Step 2: Convert to fraction form
    4,469.77/6,700.85 = 1,969.08/x
  3. Step 3: Cross multiply
    4,469.77x = 6,700.85 × 1,969.08
  4. Step 4: Simplify right side
    4,469.77x = 13,194,509.72
  5. Step 5: Solve for x
    x = 13,194,509.72/4,469.77
  6. Step 6: Final answer
    x = 2,951.94

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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.