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Finding the Fourth Proportional to 4,303.62, 6,455.34 and 1,183.61

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Solution

The fourth proportional to 4,303.62, 6,455.34 and 1,183.61 is: 1,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.62 : 6,455.34 = 1,183.61 : x
  2. Step 2: Convert to fraction form
    4,303.62/6,455.34 = 1,183.61/x
  3. Step 3: Cross multiply
    4,303.62x = 6,455.34 × 1,183.61
  4. Step 4: Simplify right side
    4,303.62x = 7,640,621.12
  5. Step 5: Solve for x
    x = 7,640,621.12/4,303.62
  6. Step 6: Final answer
    x = 1,775.39

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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.