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Finding the Fourth Proportional to 1,369.31, 1,888.43 and 927.81

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Solution

The fourth proportional to 1,369.31, 1,888.43 and 927.81 is: 1,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.31 : 1,888.43 = 927.81 : x
  2. Step 2: Convert to fraction form
    1,369.31/1,888.43 = 927.81/x
  3. Step 3: Cross multiply
    1,369.31x = 1,888.43 × 927.81
  4. Step 4: Simplify right side
    1,369.31x = 1,752,099.60
  5. Step 5: Solve for x
    x = 1,752,099.60/1,369.31
  6. Step 6: Final answer
    x = 1,279.55

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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.