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Finding the Fourth Proportional to 2,382.89, 3,574.26 and 922.37

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Solution

The fourth proportional to 2,382.89, 3,574.26 and 922.37 is: 1,383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.89 : 3,574.26 = 922.37 : x
  2. Step 2: Convert to fraction form
    2,382.89/3,574.26 = 922.37/x
  3. Step 3: Cross multiply
    2,382.89x = 3,574.26 × 922.37
  4. Step 4: Simplify right side
    2,382.89x = 3,296,772.32
  5. Step 5: Solve for x
    x = 3,296,772.32/2,382.89
  6. Step 6: Final answer
    x = 1,383.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.