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Finding the Fourth Proportional to 1,485.81, 2,227.63 and 909.09

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Solution

The fourth proportional to 1,485.81, 2,227.63 and 909.09 is: 1,362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.81 : 2,227.63 = 909.09 : x
  2. Step 2: Convert to fraction form
    1,485.81/2,227.63 = 909.09/x
  3. Step 3: Cross multiply
    1,485.81x = 2,227.63 × 909.09
  4. Step 4: Simplify right side
    1,485.81x = 2,025,116.16
  5. Step 5: Solve for x
    x = 2,025,116.16/1,485.81
  6. Step 6: Final answer
    x = 1,362.97

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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.