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Finding the Fourth Proportional to 1,290.24, 1,942.24 and 1,111.60

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Solution

The fourth proportional to 1,290.24, 1,942.24 and 1,111.60 is: 1,673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.24 : 1,942.24 = 1,111.60 : x
  2. Step 2: Convert to fraction form
    1,290.24/1,942.24 = 1,111.60/x
  3. Step 3: Cross multiply
    1,290.24x = 1,942.24 × 1,111.60
  4. Step 4: Simplify right side
    1,290.24x = 2,158,993.98
  5. Step 5: Solve for x
    x = 2,158,993.98/1,290.24
  6. Step 6: Final answer
    x = 1,673.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.