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Finding the Fourth Proportional to 2,229.41, 3,075 and 1,482.99

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Solution

The fourth proportional to 2,229.41, 3,075 and 1,482.99 is: 2,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.41 : 3,075 = 1,482.99 : x
  2. Step 2: Convert to fraction form
    2,229.41/3,075 = 1,482.99/x
  3. Step 3: Cross multiply
    2,229.41x = 3,075 × 1,482.99
  4. Step 4: Simplify right side
    2,229.41x = 4,560,194.25
  5. Step 5: Solve for x
    x = 4,560,194.25/2,229.41
  6. Step 6: Final answer
    x = 2,045.48

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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.