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Finding the Fourth Proportional to 4,652.77, 6,980.78 and 2,189.47

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Solution

The fourth proportional to 4,652.77, 6,980.78 and 2,189.47 is: 3,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.77 : 6,980.78 = 2,189.47 : x
  2. Step 2: Convert to fraction form
    4,652.77/6,980.78 = 2,189.47/x
  3. Step 3: Cross multiply
    4,652.77x = 6,980.78 × 2,189.47
  4. Step 4: Simplify right side
    4,652.77x = 15,284,197.44
  5. Step 5: Solve for x
    x = 15,284,197.44/4,652.77
  6. Step 6: Final answer
    x = 3,284.97

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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.