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Finding the Fourth Proportional to 3,265.44, 4,898.70 and 1,074.30

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Solution

The fourth proportional to 3,265.44, 4,898.70 and 1,074.30 is: 1,611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.44 : 4,898.70 = 1,074.30 : x
  2. Step 2: Convert to fraction form
    3,265.44/4,898.70 = 1,074.30/x
  3. Step 3: Cross multiply
    3,265.44x = 4,898.70 × 1,074.30
  4. Step 4: Simplify right side
    3,265.44x = 5,262,673.41
  5. Step 5: Solve for x
    x = 5,262,673.41/3,265.44
  6. Step 6: Final answer
    x = 1,611.63

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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.