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Finding the Fourth Proportional to 3,181.59, 4,772.15 and 1,620.62

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Solution

The fourth proportional to 3,181.59, 4,772.15 and 1,620.62 is: 2,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.59 : 4,772.15 = 1,620.62 : x
  2. Step 2: Convert to fraction form
    3,181.59/4,772.15 = 1,620.62/x
  3. Step 3: Cross multiply
    3,181.59x = 4,772.15 × 1,620.62
  4. Step 4: Simplify right side
    3,181.59x = 7,733,809.77
  5. Step 5: Solve for x
    x = 7,733,809.77/3,181.59
  6. Step 6: Final answer
    x = 2,430.80

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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.