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Finding the Fourth Proportional to 3,219.67, 4,825.12 and 1,970.69

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Solution

The fourth proportional to 3,219.67, 4,825.12 and 1,970.69 is: 2,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.67 : 4,825.12 = 1,970.69 : x
  2. Step 2: Convert to fraction form
    3,219.67/4,825.12 = 1,970.69/x
  3. Step 3: Cross multiply
    3,219.67x = 4,825.12 × 1,970.69
  4. Step 4: Simplify right side
    3,219.67x = 9,508,824.30
  5. Step 5: Solve for x
    x = 9,508,824.30/3,219.67
  6. Step 6: Final answer
    x = 2,953.35

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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.