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Finding the Fourth Proportional to 2,382.40, 3,575.63 and 921.97

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Solution

The fourth proportional to 2,382.40, 3,575.63 and 921.97 is: 1,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.40 : 3,575.63 = 921.97 : x
  2. Step 2: Convert to fraction form
    2,382.40/3,575.63 = 921.97/x
  3. Step 3: Cross multiply
    2,382.40x = 3,575.63 × 921.97
  4. Step 4: Simplify right side
    2,382.40x = 3,296,623.59
  5. Step 5: Solve for x
    x = 3,296,623.59/2,382.40
  6. Step 6: Final answer
    x = 1,383.74

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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.