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Finding the Fourth Proportional to 3,183.68, 4,773 and 1,451.36

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Solution

The fourth proportional to 3,183.68, 4,773 and 1,451.36 is: 2,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.68 : 4,773 = 1,451.36 : x
  2. Step 2: Convert to fraction form
    3,183.68/4,773 = 1,451.36/x
  3. Step 3: Cross multiply
    3,183.68x = 4,773 × 1,451.36
  4. Step 4: Simplify right side
    3,183.68x = 6,927,341.28
  5. Step 5: Solve for x
    x = 6,927,341.28/3,183.68
  6. Step 6: Final answer
    x = 2,175.89

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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.