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Finding the Fourth Proportional to 3,264.98, 4,898.03 and 1,074.33

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Solution

The fourth proportional to 3,264.98, 4,898.03 and 1,074.33 is: 1,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.98 : 4,898.03 = 1,074.33 : x
  2. Step 2: Convert to fraction form
    3,264.98/4,898.03 = 1,074.33/x
  3. Step 3: Cross multiply
    3,264.98x = 4,898.03 × 1,074.33
  4. Step 4: Simplify right side
    3,264.98x = 5,262,095.20
  5. Step 5: Solve for x
    x = 5,262,095.20/3,264.98
  6. Step 6: Final answer
    x = 1,611.68

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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.