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Finding the Fourth Proportional to 3,443.06, 5,164.79 and 977.69

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Solution

The fourth proportional to 3,443.06, 5,164.79 and 977.69 is: 1,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.06 : 5,164.79 = 977.69 : x
  2. Step 2: Convert to fraction form
    3,443.06/5,164.79 = 977.69/x
  3. Step 3: Cross multiply
    3,443.06x = 5,164.79 × 977.69
  4. Step 4: Simplify right side
    3,443.06x = 5,049,563.54
  5. Step 5: Solve for x
    x = 5,049,563.54/3,443.06
  6. Step 6: Final answer
    x = 1,466.59

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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.