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Finding the Fourth Proportional to 2,075.28, 3,110.52 and 775.44

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Solution

The fourth proportional to 2,075.28, 3,110.52 and 775.44 is: 1,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.28 : 3,110.52 = 775.44 : x
  2. Step 2: Convert to fraction form
    2,075.28/3,110.52 = 775.44/x
  3. Step 3: Cross multiply
    2,075.28x = 3,110.52 × 775.44
  4. Step 4: Simplify right side
    2,075.28x = 2,412,021.63
  5. Step 5: Solve for x
    x = 2,412,021.63/2,075.28
  6. Step 6: Final answer
    x = 1,162.26

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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.