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Finding the Fourth Proportional to 1,763.37, 2,640.87 and 1,396.98

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Solution

The fourth proportional to 1,763.37, 2,640.87 and 1,396.98 is: 2,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.37 : 2,640.87 = 1,396.98 : x
  2. Step 2: Convert to fraction form
    1,763.37/2,640.87 = 1,396.98/x
  3. Step 3: Cross multiply
    1,763.37x = 2,640.87 × 1,396.98
  4. Step 4: Simplify right side
    1,763.37x = 3,689,242.57
  5. Step 5: Solve for x
    x = 3,689,242.57/1,763.37
  6. Step 6: Final answer
    x = 2,092.15

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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.