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Finding the Fourth Proportional to 3,189.61, 4,782.21 and 1,626.58

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Solution

The fourth proportional to 3,189.61, 4,782.21 and 1,626.58 is: 2,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.61 : 4,782.21 = 1,626.58 : x
  2. Step 2: Convert to fraction form
    3,189.61/4,782.21 = 1,626.58/x
  3. Step 3: Cross multiply
    3,189.61x = 4,782.21 × 1,626.58
  4. Step 4: Simplify right side
    3,189.61x = 7,778,647.14
  5. Step 5: Solve for x
    x = 7,778,647.14/3,189.61
  6. Step 6: Final answer
    x = 2,438.75

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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.