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Finding the Fourth Proportional to 2,050.26, 3,075.59 and 589.63

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Solution

The fourth proportional to 2,050.26, 3,075.59 and 589.63 is: 884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.26 : 3,075.59 = 589.63 : x
  2. Step 2: Convert to fraction form
    2,050.26/3,075.59 = 589.63/x
  3. Step 3: Cross multiply
    2,050.26x = 3,075.59 × 589.63
  4. Step 4: Simplify right side
    2,050.26x = 1,813,453.92
  5. Step 5: Solve for x
    x = 1,813,453.92/2,050.26
  6. Step 6: Final answer
    x = 884.50

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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.