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Finding the Fourth Proportional to 2,362.50, 3,524.58 and 2,247.66

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Solution

The fourth proportional to 2,362.50, 3,524.58 and 2,247.66 is: 3,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.50 : 3,524.58 = 2,247.66 : x
  2. Step 2: Convert to fraction form
    2,362.50/3,524.58 = 2,247.66/x
  3. Step 3: Cross multiply
    2,362.50x = 3,524.58 × 2,247.66
  4. Step 4: Simplify right side
    2,362.50x = 7,922,057.48
  5. Step 5: Solve for x
    x = 7,922,057.48/2,362.50
  6. Step 6: Final answer
    x = 3,353.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.