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Finding the Fourth Proportional to 3,092.28, 4,637.94 and 900.78

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Solution

The fourth proportional to 3,092.28, 4,637.94 and 900.78 is: 1,351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.28 : 4,637.94 = 900.78 : x
  2. Step 2: Convert to fraction form
    3,092.28/4,637.94 = 900.78/x
  3. Step 3: Cross multiply
    3,092.28x = 4,637.94 × 900.78
  4. Step 4: Simplify right side
    3,092.28x = 4,177,763.59
  5. Step 5: Solve for x
    x = 4,177,763.59/3,092.28
  6. Step 6: Final answer
    x = 1,351.03

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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.