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Finding the Fourth Proportional to 3,069.06, 4,235.19 and 1,671.78

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Solution

The fourth proportional to 3,069.06, 4,235.19 and 1,671.78 is: 2,306.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.06 : 4,235.19 = 1,671.78 : x
  2. Step 2: Convert to fraction form
    3,069.06/4,235.19 = 1,671.78/x
  3. Step 3: Cross multiply
    3,069.06x = 4,235.19 × 1,671.78
  4. Step 4: Simplify right side
    3,069.06x = 7,080,305.94
  5. Step 5: Solve for x
    x = 7,080,305.94/3,069.06
  6. Step 6: Final answer
    x = 2,306.99

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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.