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Finding the Fourth Proportional to 2,041.39, 2,817.75 and 1,936.90

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Solution

The fourth proportional to 2,041.39, 2,817.75 and 1,936.90 is: 2,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.39 : 2,817.75 = 1,936.90 : x
  2. Step 2: Convert to fraction form
    2,041.39/2,817.75 = 1,936.90/x
  3. Step 3: Cross multiply
    2,041.39x = 2,817.75 × 1,936.90
  4. Step 4: Simplify right side
    2,041.39x = 5,457,699.98
  5. Step 5: Solve for x
    x = 5,457,699.98/2,041.39
  6. Step 6: Final answer
    x = 2,673.52

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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.