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Finding the Fourth Proportional to 2,245.73, 3,367.13 and 1,075.70

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Solution

The fourth proportional to 2,245.73, 3,367.13 and 1,075.70 is: 1,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.73 : 3,367.13 = 1,075.70 : x
  2. Step 2: Convert to fraction form
    2,245.73/3,367.13 = 1,075.70/x
  3. Step 3: Cross multiply
    2,245.73x = 3,367.13 × 1,075.70
  4. Step 4: Simplify right side
    2,245.73x = 3,622,008.87
  5. Step 5: Solve for x
    x = 3,622,008.87/2,245.73
  6. Step 6: Final answer
    x = 1,612.85

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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.