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Finding the Fourth Proportional to 2,075.22, 3,112.84 and 536.22

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Solution

The fourth proportional to 2,075.22, 3,112.84 and 536.22 is: 804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.22 : 3,112.84 = 536.22 : x
  2. Step 2: Convert to fraction form
    2,075.22/3,112.84 = 536.22/x
  3. Step 3: Cross multiply
    2,075.22x = 3,112.84 × 536.22
  4. Step 4: Simplify right side
    2,075.22x = 1,669,167.06
  5. Step 5: Solve for x
    x = 1,669,167.06/2,075.22
  6. Step 6: Final answer
    x = 804.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.