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Finding the Fourth Proportional to 2,443, 3,664.50 and 1,075

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Solution

The fourth proportional to 2,443, 3,664.50 and 1,075 is: 1,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443 : 3,664.50 = 1,075 : x
  2. Step 2: Convert to fraction form
    2,443/3,664.50 = 1,075/x
  3. Step 3: Cross multiply
    2,443x = 3,664.50 × 1,075
  4. Step 4: Simplify right side
    2,443x = 3,939,337.50
  5. Step 5: Solve for x
    x = 3,939,337.50/2,443
  6. Step 6: Final answer
    x = 1,612.50

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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.