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Finding the Fourth Proportional to 2,683.68, 3,702.84 and 1,563.93

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Solution

The fourth proportional to 2,683.68, 3,702.84 and 1,563.93 is: 2,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.68 : 3,702.84 = 1,563.93 : x
  2. Step 2: Convert to fraction form
    2,683.68/3,702.84 = 1,563.93/x
  3. Step 3: Cross multiply
    2,683.68x = 3,702.84 × 1,563.93
  4. Step 4: Simplify right side
    2,683.68x = 5,790,982.56
  5. Step 5: Solve for x
    x = 5,790,982.56/2,683.68
  6. Step 6: Final answer
    x = 2,157.85

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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.