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Finding the Fourth Proportional to 2,363.57, 3,544.89 and 902.37

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Solution

The fourth proportional to 2,363.57, 3,544.89 and 902.37 is: 1,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.57 : 3,544.89 = 902.37 : x
  2. Step 2: Convert to fraction form
    2,363.57/3,544.89 = 902.37/x
  3. Step 3: Cross multiply
    2,363.57x = 3,544.89 × 902.37
  4. Step 4: Simplify right side
    2,363.57x = 3,198,802.39
  5. Step 5: Solve for x
    x = 3,198,802.39/2,363.57
  6. Step 6: Final answer
    x = 1,353.38

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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.