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Finding the Fourth Proportional to 2,369.72, 3,553.06 and 984.02

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Solution

The fourth proportional to 2,369.72, 3,553.06 and 984.02 is: 1,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.72 : 3,553.06 = 984.02 : x
  2. Step 2: Convert to fraction form
    2,369.72/3,553.06 = 984.02/x
  3. Step 3: Cross multiply
    2,369.72x = 3,553.06 × 984.02
  4. Step 4: Simplify right side
    2,369.72x = 3,496,266.80
  5. Step 5: Solve for x
    x = 3,496,266.80/2,369.72
  6. Step 6: Final answer
    x = 1,475.39

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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.