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Finding the Fourth Proportional to 1,339.90, 1,850.82 and 986.54

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Solution

The fourth proportional to 1,339.90, 1,850.82 and 986.54 is: 1,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.90 : 1,850.82 = 986.54 : x
  2. Step 2: Convert to fraction form
    1,339.90/1,850.82 = 986.54/x
  3. Step 3: Cross multiply
    1,339.90x = 1,850.82 × 986.54
  4. Step 4: Simplify right side
    1,339.90x = 1,825,895.01
  5. Step 5: Solve for x
    x = 1,825,895.01/1,339.90
  6. Step 6: Final answer
    x = 1,362.71

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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.