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Finding the Fourth Proportional to 2,369.06, 3,553.88 and 982.23

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Solution

The fourth proportional to 2,369.06, 3,553.88 and 982.23 is: 1,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.06 : 3,553.88 = 982.23 : x
  2. Step 2: Convert to fraction form
    2,369.06/3,553.88 = 982.23/x
  3. Step 3: Cross multiply
    2,369.06x = 3,553.88 × 982.23
  4. Step 4: Simplify right side
    2,369.06x = 3,490,709.31
  5. Step 5: Solve for x
    x = 3,490,709.31/2,369.06
  6. Step 6: Final answer
    x = 1,473.45

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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.