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Finding the Fourth Proportional to 3,075, 4,243.50 and 1,833

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Solution

The fourth proportional to 3,075, 4,243.50 and 1,833 is: 2,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075 : 4,243.50 = 1,833 : x
  2. Step 2: Convert to fraction form
    3,075/4,243.50 = 1,833/x
  3. Step 3: Cross multiply
    3,075x = 4,243.50 × 1,833
  4. Step 4: Simplify right side
    3,075x = 7,778,335.50
  5. Step 5: Solve for x
    x = 7,778,335.50/3,075
  6. Step 6: Final answer
    x = 2,529.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.