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Finding the Fourth Proportional to 1,384.23, 1,908.22 and 990.57

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Solution

The fourth proportional to 1,384.23, 1,908.22 and 990.57 is: 1,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.23 : 1,908.22 = 990.57 : x
  2. Step 2: Convert to fraction form
    1,384.23/1,908.22 = 990.57/x
  3. Step 3: Cross multiply
    1,384.23x = 1,908.22 × 990.57
  4. Step 4: Simplify right side
    1,384.23x = 1,890,225.49
  5. Step 5: Solve for x
    x = 1,890,225.49/1,384.23
  6. Step 6: Final answer
    x = 1,365.54

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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.