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Finding the Fourth Proportional to 2,050.25, 3,075.37 and 589.41

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Solution

The fourth proportional to 2,050.25, 3,075.37 and 589.41 is: 884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.25 : 3,075.37 = 589.41 : x
  2. Step 2: Convert to fraction form
    2,050.25/3,075.37 = 589.41/x
  3. Step 3: Cross multiply
    2,050.25x = 3,075.37 × 589.41
  4. Step 4: Simplify right side
    2,050.25x = 1,812,652.36
  5. Step 5: Solve for x
    x = 1,812,652.36/2,050.25
  6. Step 6: Final answer
    x = 884.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.