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Finding the Fourth Proportional to 2,245.82, 3,369.66 and 1,075.22

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Solution

The fourth proportional to 2,245.82, 3,369.66 and 1,075.22 is: 1,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.82 : 3,369.66 = 1,075.22 : x
  2. Step 2: Convert to fraction form
    2,245.82/3,369.66 = 1,075.22/x
  3. Step 3: Cross multiply
    2,245.82x = 3,369.66 × 1,075.22
  4. Step 4: Simplify right side
    2,245.82x = 3,623,125.83
  5. Step 5: Solve for x
    x = 3,623,125.83/2,245.82
  6. Step 6: Final answer
    x = 1,613.28

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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.