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Finding the Fourth Proportional to 2,706.68, 4,053.54 and 2,085.21

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Solution

The fourth proportional to 2,706.68, 4,053.54 and 2,085.21 is: 3,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.68 : 4,053.54 = 2,085.21 : x
  2. Step 2: Convert to fraction form
    2,706.68/4,053.54 = 2,085.21/x
  3. Step 3: Cross multiply
    2,706.68x = 4,053.54 × 2,085.21
  4. Step 4: Simplify right side
    2,706.68x = 8,452,489.96
  5. Step 5: Solve for x
    x = 8,452,489.96/2,706.68
  6. Step 6: Final answer
    x = 3,122.82

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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.