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Finding the Fourth Proportional to 1,473.74, 2,207.78 and 1,181.88

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Solution

The fourth proportional to 1,473.74, 2,207.78 and 1,181.88 is: 1,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.74 : 2,207.78 = 1,181.88 : x
  2. Step 2: Convert to fraction form
    1,473.74/2,207.78 = 1,181.88/x
  3. Step 3: Cross multiply
    1,473.74x = 2,207.78 × 1,181.88
  4. Step 4: Simplify right side
    1,473.74x = 2,609,331.03
  5. Step 5: Solve for x
    x = 2,609,331.03/1,473.74
  6. Step 6: Final answer
    x = 1,770.55

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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.