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Finding the Fourth Proportional to 3,075.26, 4,609.00 and 1,964.25

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Solution

The fourth proportional to 3,075.26, 4,609.00 and 1,964.25 is: 2,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.26 : 4,609.00 = 1,964.25 : x
  2. Step 2: Convert to fraction form
    3,075.26/4,609.00 = 1,964.25/x
  3. Step 3: Cross multiply
    3,075.26x = 4,609.00 × 1,964.25
  4. Step 4: Simplify right side
    3,075.26x = 9,053,218.43
  5. Step 5: Solve for x
    x = 9,053,218.43/3,075.26
  6. Step 6: Final answer
    x = 2,943.89

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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.