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Finding the Fourth Proportional to 2,050.89, 3,075.99 and 589.71

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Solution

The fourth proportional to 2,050.89, 3,075.99 and 589.71 is: 884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.89 : 3,075.99 = 589.71 : x
  2. Step 2: Convert to fraction form
    2,050.89/3,075.99 = 589.71/x
  3. Step 3: Cross multiply
    2,050.89x = 3,075.99 × 589.71
  4. Step 4: Simplify right side
    2,050.89x = 1,813,942.06
  5. Step 5: Solve for x
    x = 1,813,942.06/2,050.89
  6. Step 6: Final answer
    x = 884.47

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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.