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Finding the Fourth Proportional to 3,176, 4,765.44 and 1,532.24

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Solution

The fourth proportional to 3,176, 4,765.44 and 1,532.24 is: 2,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176 : 4,765.44 = 1,532.24 : x
  2. Step 2: Convert to fraction form
    3,176/4,765.44 = 1,532.24/x
  3. Step 3: Cross multiply
    3,176x = 4,765.44 × 1,532.24
  4. Step 4: Simplify right side
    3,176x = 7,301,797.79
  5. Step 5: Solve for x
    x = 7,301,797.79/3,176
  6. Step 6: Final answer
    x = 2,299.05

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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.