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Finding the Fourth Proportional to 2,050.08, 3,074.64 and 589.44

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Solution

The fourth proportional to 2,050.08, 3,074.64 and 589.44 is: 884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.08 : 3,074.64 = 589.44 : x
  2. Step 2: Convert to fraction form
    2,050.08/3,074.64 = 589.44/x
  3. Step 3: Cross multiply
    2,050.08x = 3,074.64 × 589.44
  4. Step 4: Simplify right side
    2,050.08x = 1,812,315.80
  5. Step 5: Solve for x
    x = 1,812,315.80/2,050.08
  6. Step 6: Final answer
    x = 884.02

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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.