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Finding the Fourth Proportional to 2,683.55, 3,704.69 and 2,084.70

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Solution

The fourth proportional to 2,683.55, 3,704.69 and 2,084.70 is: 2,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.55 : 3,704.69 = 2,084.70 : x
  2. Step 2: Convert to fraction form
    2,683.55/3,704.69 = 2,084.70/x
  3. Step 3: Cross multiply
    2,683.55x = 3,704.69 × 2,084.70
  4. Step 4: Simplify right side
    2,683.55x = 7,723,156.82
  5. Step 5: Solve for x
    x = 7,723,156.82/2,683.55
  6. Step 6: Final answer
    x = 2,877.97

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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.