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Finding the Fourth Proportional to 3,169.53, 4,754.81 and 977.75

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Solution

The fourth proportional to 3,169.53, 4,754.81 and 977.75 is: 1,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.53 : 4,754.81 = 977.75 : x
  2. Step 2: Convert to fraction form
    3,169.53/4,754.81 = 977.75/x
  3. Step 3: Cross multiply
    3,169.53x = 4,754.81 × 977.75
  4. Step 4: Simplify right side
    3,169.53x = 4,649,015.48
  5. Step 5: Solve for x
    x = 4,649,015.48/3,169.53
  6. Step 6: Final answer
    x = 1,466.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.