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Finding the Fourth Proportional to 2,218.46, 3,328.06 and 1,064.22

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Solution

The fourth proportional to 2,218.46, 3,328.06 and 1,064.22 is: 1,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.46 : 3,328.06 = 1,064.22 : x
  2. Step 2: Convert to fraction form
    2,218.46/3,328.06 = 1,064.22/x
  3. Step 3: Cross multiply
    2,218.46x = 3,328.06 × 1,064.22
  4. Step 4: Simplify right side
    2,218.46x = 3,541,788.01
  5. Step 5: Solve for x
    x = 3,541,788.01/2,218.46
  6. Step 6: Final answer
    x = 1,596.51

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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.