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Finding the Fourth Proportional to 3,075.49, 4,244.81 and 1,956.21

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Solution

The fourth proportional to 3,075.49, 4,244.81 and 1,956.21 is: 2,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.49 : 4,244.81 = 1,956.21 : x
  2. Step 2: Convert to fraction form
    3,075.49/4,244.81 = 1,956.21/x
  3. Step 3: Cross multiply
    3,075.49x = 4,244.81 × 1,956.21
  4. Step 4: Simplify right side
    3,075.49x = 8,303,729.99
  5. Step 5: Solve for x
    x = 8,303,729.99/3,075.49
  6. Step 6: Final answer
    x = 2,699.97

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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.