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Finding the Fourth Proportional to 1,930.94, 2,665.31 and 1,232.32

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Solution

The fourth proportional to 1,930.94, 2,665.31 and 1,232.32 is: 1,700.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.94 : 2,665.31 = 1,232.32 : x
  2. Step 2: Convert to fraction form
    1,930.94/2,665.31 = 1,232.32/x
  3. Step 3: Cross multiply
    1,930.94x = 2,665.31 × 1,232.32
  4. Step 4: Simplify right side
    1,930.94x = 3,284,495.33
  5. Step 5: Solve for x
    x = 3,284,495.33/1,930.94
  6. Step 6: Final answer
    x = 1,700.98

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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.