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Finding the Fourth Proportional to 2,683.49, 3,702.51 and 1,797.75

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Solution

The fourth proportional to 2,683.49, 3,702.51 and 1,797.75 is: 2,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.49 : 3,702.51 = 1,797.75 : x
  2. Step 2: Convert to fraction form
    2,683.49/3,702.51 = 1,797.75/x
  3. Step 3: Cross multiply
    2,683.49x = 3,702.51 × 1,797.75
  4. Step 4: Simplify right side
    2,683.49x = 6,656,187.35
  5. Step 5: Solve for x
    x = 6,656,187.35/2,683.49
  6. Step 6: Final answer
    x = 2,480.43

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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.