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Finding the Fourth Proportional to 2,706.10, 4,035.39 and 2,681.46

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Solution

The fourth proportional to 2,706.10, 4,035.39 and 2,681.46 is: 3,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.10 : 4,035.39 = 2,681.46 : x
  2. Step 2: Convert to fraction form
    2,706.10/4,035.39 = 2,681.46/x
  3. Step 3: Cross multiply
    2,706.10x = 4,035.39 × 2,681.46
  4. Step 4: Simplify right side
    2,706.10x = 10,820,736.87
  5. Step 5: Solve for x
    x = 10,820,736.87/2,706.10
  6. Step 6: Final answer
    x = 3,998.65

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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.