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Finding the Fourth Proportional to 2,706.75, 4,039.18 and 2,415.15

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Solution

The fourth proportional to 2,706.75, 4,039.18 and 2,415.15 is: 3,604.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.75 : 4,039.18 = 2,415.15 : x
  2. Step 2: Convert to fraction form
    2,706.75/4,039.18 = 2,415.15/x
  3. Step 3: Cross multiply
    2,706.75x = 4,039.18 × 2,415.15
  4. Step 4: Simplify right side
    2,706.75x = 9,755,219.54
  5. Step 5: Solve for x
    x = 9,755,219.54/2,706.75
  6. Step 6: Final answer
    x = 3,604.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.