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Finding the Fourth Proportional to 2,050.44, 3,075.09 and 569.31

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Solution

The fourth proportional to 2,050.44, 3,075.09 and 569.31 is: 853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.44 : 3,075.09 = 569.31 : x
  2. Step 2: Convert to fraction form
    2,050.44/3,075.09 = 569.31/x
  3. Step 3: Cross multiply
    2,050.44x = 3,075.09 × 569.31
  4. Step 4: Simplify right side
    2,050.44x = 1,750,679.49
  5. Step 5: Solve for x
    x = 1,750,679.49/2,050.44
  6. Step 6: Final answer
    x = 853.81

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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.