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Finding the Fourth Proportional to 3,222.77, 4,830.47 and 1,487.75

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Solution

The fourth proportional to 3,222.77, 4,830.47 and 1,487.75 is: 2,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.77 : 4,830.47 = 1,487.75 : x
  2. Step 2: Convert to fraction form
    3,222.77/4,830.47 = 1,487.75/x
  3. Step 3: Cross multiply
    3,222.77x = 4,830.47 × 1,487.75
  4. Step 4: Simplify right side
    3,222.77x = 7,186,524.30
  5. Step 5: Solve for x
    x = 7,186,524.30/3,222.77
  6. Step 6: Final answer
    x = 2,229.92

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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.