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Finding the Fourth Proportional to 3,189.02, 4,778.70 and 1,626.70

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Solution

The fourth proportional to 3,189.02, 4,778.70 and 1,626.70 is: 2,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.02 : 4,778.70 = 1,626.70 : x
  2. Step 2: Convert to fraction form
    3,189.02/4,778.70 = 1,626.70/x
  3. Step 3: Cross multiply
    3,189.02x = 4,778.70 × 1,626.70
  4. Step 4: Simplify right side
    3,189.02x = 7,773,511.29
  5. Step 5: Solve for x
    x = 7,773,511.29/3,189.02
  6. Step 6: Final answer
    x = 2,437.59

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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.