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Finding the Fourth Proportional to 2,851.90, 3,936.73 and 1,733.02

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Solution

The fourth proportional to 2,851.90, 3,936.73 and 1,733.02 is: 2,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.90 : 3,936.73 = 1,733.02 : x
  2. Step 2: Convert to fraction form
    2,851.90/3,936.73 = 1,733.02/x
  3. Step 3: Cross multiply
    2,851.90x = 3,936.73 × 1,733.02
  4. Step 4: Simplify right side
    2,851.90x = 6,822,412.14
  5. Step 5: Solve for x
    x = 6,822,412.14/2,851.90
  6. Step 6: Final answer
    x = 2,392.24

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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.