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Finding the Fourth Proportional to 3,182.69, 4,775.41 and 1,720.14

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Solution

The fourth proportional to 3,182.69, 4,775.41 and 1,720.14 is: 2,580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.69 : 4,775.41 = 1,720.14 : x
  2. Step 2: Convert to fraction form
    3,182.69/4,775.41 = 1,720.14/x
  3. Step 3: Cross multiply
    3,182.69x = 4,775.41 × 1,720.14
  4. Step 4: Simplify right side
    3,182.69x = 8,214,348.32
  5. Step 5: Solve for x
    x = 8,214,348.32/3,182.69
  6. Step 6: Final answer
    x = 2,580.94

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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.