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Finding the Fourth Proportional to 1,369.27, 1,889.90 and 838.27

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Solution

The fourth proportional to 1,369.27, 1,889.90 and 838.27 is: 1,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.27 : 1,889.90 = 838.27 : x
  2. Step 2: Convert to fraction form
    1,369.27/1,889.90 = 838.27/x
  3. Step 3: Cross multiply
    1,369.27x = 1,889.90 × 838.27
  4. Step 4: Simplify right side
    1,369.27x = 1,584,246.47
  5. Step 5: Solve for x
    x = 1,584,246.47/1,369.27
  6. Step 6: Final answer
    x = 1,157.00

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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.