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Finding the Fourth Proportional to 3,075, 4,243.62 and 1,833.72

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Solution

The fourth proportional to 3,075, 4,243.62 and 1,833.72 is: 2,530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075 : 4,243.62 = 1,833.72 : x
  2. Step 2: Convert to fraction form
    3,075/4,243.62 = 1,833.72/x
  3. Step 3: Cross multiply
    3,075x = 4,243.62 × 1,833.72
  4. Step 4: Simplify right side
    3,075x = 7,781,610.87
  5. Step 5: Solve for x
    x = 7,781,610.87/3,075
  6. Step 6: Final answer
    x = 2,530.61

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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.