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Finding the Fourth Proportional to 2,383.79, 3,573.32 and 998.06

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Solution

The fourth proportional to 2,383.79, 3,573.32 and 998.06 is: 1,496.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.79 : 3,573.32 = 998.06 : x
  2. Step 2: Convert to fraction form
    2,383.79/3,573.32 = 998.06/x
  3. Step 3: Cross multiply
    2,383.79x = 3,573.32 × 998.06
  4. Step 4: Simplify right side
    2,383.79x = 3,566,364.90
  5. Step 5: Solve for x
    x = 3,566,364.90/2,383.79
  6. Step 6: Final answer
    x = 1,496.09

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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.