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Finding the Fourth Proportional to 3,075.33, 4,243.96 and 1,749.31

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Solution

The fourth proportional to 3,075.33, 4,243.96 and 1,749.31 is: 2,414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.33 : 4,243.96 = 1,749.31 : x
  2. Step 2: Convert to fraction form
    3,075.33/4,243.96 = 1,749.31/x
  3. Step 3: Cross multiply
    3,075.33x = 4,243.96 × 1,749.31
  4. Step 4: Simplify right side
    3,075.33x = 7,423,993.24
  5. Step 5: Solve for x
    x = 7,423,993.24/3,075.33
  6. Step 6: Final answer
    x = 2,414.04

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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.