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Finding the Fourth Proportional to 2,039.01, 2,813.71 and 1,199.56

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Solution

The fourth proportional to 2,039.01, 2,813.71 and 1,199.56 is: 1,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.01 : 2,813.71 = 1,199.56 : x
  2. Step 2: Convert to fraction form
    2,039.01/2,813.71 = 1,199.56/x
  3. Step 3: Cross multiply
    2,039.01x = 2,813.71 × 1,199.56
  4. Step 4: Simplify right side
    2,039.01x = 3,375,196.22
  5. Step 5: Solve for x
    x = 3,375,196.22/2,039.01
  6. Step 6: Final answer
    x = 1,655.31

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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.