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Finding the Fourth Proportional to 3,219.74, 4,443.99 and 1,822.94

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Solution

The fourth proportional to 3,219.74, 4,443.99 and 1,822.94 is: 2,516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.74 : 4,443.99 = 1,822.94 : x
  2. Step 2: Convert to fraction form
    3,219.74/4,443.99 = 1,822.94/x
  3. Step 3: Cross multiply
    3,219.74x = 4,443.99 × 1,822.94
  4. Step 4: Simplify right side
    3,219.74x = 8,101,127.13
  5. Step 5: Solve for x
    x = 8,101,127.13/3,219.74
  6. Step 6: Final answer
    x = 2,516.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.