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Finding the Fourth Proportional to 2,803.94, 4,199.43 and 2,706.74

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Solution

The fourth proportional to 2,803.94, 4,199.43 and 2,706.74 is: 4,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.94 : 4,199.43 = 2,706.74 : x
  2. Step 2: Convert to fraction form
    2,803.94/4,199.43 = 2,706.74/x
  3. Step 3: Cross multiply
    2,803.94x = 4,199.43 × 2,706.74
  4. Step 4: Simplify right side
    2,803.94x = 11,366,765.16
  5. Step 5: Solve for x
    x = 11,366,765.16/2,803.94
  6. Step 6: Final answer
    x = 4,053.85

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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.