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Finding the Fourth Proportional to 2,936.70, 4,406.76 and 1,089.12

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Solution

The fourth proportional to 2,936.70, 4,406.76 and 1,089.12 is: 1,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.70 : 4,406.76 = 1,089.12 : x
  2. Step 2: Convert to fraction form
    2,936.70/4,406.76 = 1,089.12/x
  3. Step 3: Cross multiply
    2,936.70x = 4,406.76 × 1,089.12
  4. Step 4: Simplify right side
    2,936.70x = 4,799,490.45
  5. Step 5: Solve for x
    x = 4,799,490.45/2,936.70
  6. Step 6: Final answer
    x = 1,634.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.