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Finding the Fourth Proportional to 2,075.49, 2,855.70 and 1,794.81

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Solution

The fourth proportional to 2,075.49, 2,855.70 and 1,794.81 is: 2,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.49 : 2,855.70 = 1,794.81 : x
  2. Step 2: Convert to fraction form
    2,075.49/2,855.70 = 1,794.81/x
  3. Step 3: Cross multiply
    2,075.49x = 2,855.70 × 1,794.81
  4. Step 4: Simplify right side
    2,075.49x = 5,125,438.92
  5. Step 5: Solve for x
    x = 5,125,438.92/2,075.49
  6. Step 6: Final answer
    x = 2,469.51

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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.