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Finding the Fourth Proportional to 2,027.36, 2,797.80 and 1,199.36

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Solution

The fourth proportional to 2,027.36, 2,797.80 and 1,199.36 is: 1,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.36 : 2,797.80 = 1,199.36 : x
  2. Step 2: Convert to fraction form
    2,027.36/2,797.80 = 1,199.36/x
  3. Step 3: Cross multiply
    2,027.36x = 2,797.80 × 1,199.36
  4. Step 4: Simplify right side
    2,027.36x = 3,355,569.41
  5. Step 5: Solve for x
    x = 3,355,569.41/2,027.36
  6. Step 6: Final answer
    x = 1,655.14

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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.