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Finding the Fourth Proportional to 3,181.68, 4,770.18 and 1,233

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Solution

The fourth proportional to 3,181.68, 4,770.18 and 1,233 is: 1,848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.68 : 4,770.18 = 1,233 : x
  2. Step 2: Convert to fraction form
    3,181.68/4,770.18 = 1,233/x
  3. Step 3: Cross multiply
    3,181.68x = 4,770.18 × 1,233
  4. Step 4: Simplify right side
    3,181.68x = 5,881,631.94
  5. Step 5: Solve for x
    x = 5,881,631.94/3,181.68
  6. Step 6: Final answer
    x = 1,848.59

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Double scale
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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.