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Finding the Fourth Proportional to 3,254, 4,881 and 788.81

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Solution

The fourth proportional to 3,254, 4,881 and 788.81 is: 1,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254 : 4,881 = 788.81 : x
  2. Step 2: Convert to fraction form
    3,254/4,881 = 788.81/x
  3. Step 3: Cross multiply
    3,254x = 4,881 × 788.81
  4. Step 4: Simplify right side
    3,254x = 3,850,181.61
  5. Step 5: Solve for x
    x = 3,850,181.61/3,254
  6. Step 6: Final answer
    x = 1,183.22

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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.