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Finding the Fourth Proportional to 3,176.32, 4,765.12 and 2,019.20

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Solution

The fourth proportional to 3,176.32, 4,765.12 and 2,019.20 is: 3,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.32 : 4,765.12 = 2,019.20 : x
  2. Step 2: Convert to fraction form
    3,176.32/4,765.12 = 2,019.20/x
  3. Step 3: Cross multiply
    3,176.32x = 4,765.12 × 2,019.20
  4. Step 4: Simplify right side
    3,176.32x = 9,621,730.30
  5. Step 5: Solve for x
    x = 9,621,730.30/3,176.32
  6. Step 6: Final answer
    x = 3,029.21

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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.