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Finding the Fourth Proportional to 3,219.84, 4,443.12 and 1,822.56

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Solution

The fourth proportional to 3,219.84, 4,443.12 and 1,822.56 is: 2,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.84 : 4,443.12 = 1,822.56 : x
  2. Step 2: Convert to fraction form
    3,219.84/4,443.12 = 1,822.56/x
  3. Step 3: Cross multiply
    3,219.84x = 4,443.12 × 1,822.56
  4. Step 4: Simplify right side
    3,219.84x = 8,097,852.79
  5. Step 5: Solve for x
    x = 8,097,852.79/3,219.84
  6. Step 6: Final answer
    x = 2,514.99

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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.