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Finding the Fourth Proportional to 2,037.30, 2,809 and 1,722

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Solution

The fourth proportional to 2,037.30, 2,809 and 1,722 is: 2,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.30 : 2,809 = 1,722 : x
  2. Step 2: Convert to fraction form
    2,037.30/2,809 = 1,722/x
  3. Step 3: Cross multiply
    2,037.30x = 2,809 × 1,722
  4. Step 4: Simplify right side
    2,037.30x = 4,837,098
  5. Step 5: Solve for x
    x = 4,837,098/2,037.30
  6. Step 6: Final answer
    x = 2,374.27

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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.