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Finding the Fourth Proportional to 3,178.70, 4,763.42 and 1,533.32

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Solution

The fourth proportional to 3,178.70, 4,763.42 and 1,533.32 is: 2,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.70 : 4,763.42 = 1,533.32 : x
  2. Step 2: Convert to fraction form
    3,178.70/4,763.42 = 1,533.32/x
  3. Step 3: Cross multiply
    3,178.70x = 4,763.42 × 1,533.32
  4. Step 4: Simplify right side
    3,178.70x = 7,303,847.15
  5. Step 5: Solve for x
    x = 7,303,847.15/3,178.70
  6. Step 6: Final answer
    x = 2,297.75

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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.