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Finding the Fourth Proportional to 1,936.18, 2,674.65 and 1,761.22

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Solution

The fourth proportional to 1,936.18, 2,674.65 and 1,761.22 is: 2,432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.18 : 2,674.65 = 1,761.22 : x
  2. Step 2: Convert to fraction form
    1,936.18/2,674.65 = 1,761.22/x
  3. Step 3: Cross multiply
    1,936.18x = 2,674.65 × 1,761.22
  4. Step 4: Simplify right side
    1,936.18x = 4,710,647.07
  5. Step 5: Solve for x
    x = 4,710,647.07/1,936.18
  6. Step 6: Final answer
    x = 2,432.96

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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.