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Finding the Fourth Proportional to 2,382.72, 3,574.58 and 922.29

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Solution

The fourth proportional to 2,382.72, 3,574.58 and 922.29 is: 1,383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.72 : 3,574.58 = 922.29 : x
  2. Step 2: Convert to fraction form
    2,382.72/3,574.58 = 922.29/x
  3. Step 3: Cross multiply
    2,382.72x = 3,574.58 × 922.29
  4. Step 4: Simplify right side
    2,382.72x = 3,296,794.78
  5. Step 5: Solve for x
    x = 3,296,794.78/2,382.72
  6. Step 6: Final answer
    x = 1,383.63

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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.