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Finding the Fourth Proportional to 2,712.84, 4,063.87 and 1,322.12

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Solution

The fourth proportional to 2,712.84, 4,063.87 and 1,322.12 is: 1,980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.84 : 4,063.87 = 1,322.12 : x
  2. Step 2: Convert to fraction form
    2,712.84/4,063.87 = 1,322.12/x
  3. Step 3: Cross multiply
    2,712.84x = 4,063.87 × 1,322.12
  4. Step 4: Simplify right side
    2,712.84x = 5,372,935.62
  5. Step 5: Solve for x
    x = 5,372,935.62/2,712.84
  6. Step 6: Final answer
    x = 1,980.56

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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.