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Finding the Fourth Proportional to 2,219.46, 3,329.55 and 1,065.21

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Solution

The fourth proportional to 2,219.46, 3,329.55 and 1,065.21 is: 1,597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.46 : 3,329.55 = 1,065.21 : x
  2. Step 2: Convert to fraction form
    2,219.46/3,329.55 = 1,065.21/x
  3. Step 3: Cross multiply
    2,219.46x = 3,329.55 × 1,065.21
  4. Step 4: Simplify right side
    2,219.46x = 3,546,669.96
  5. Step 5: Solve for x
    x = 3,546,669.96/2,219.46
  6. Step 6: Final answer
    x = 1,597.99

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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.