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Finding the Fourth Proportional to 1,213.96, 1,808.01 and 1,170.91

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Solution

The fourth proportional to 1,213.96, 1,808.01 and 1,170.91 is: 1,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.96 : 1,808.01 = 1,170.91 : x
  2. Step 2: Convert to fraction form
    1,213.96/1,808.01 = 1,170.91/x
  3. Step 3: Cross multiply
    1,213.96x = 1,808.01 × 1,170.91
  4. Step 4: Simplify right side
    1,213.96x = 2,117,016.99
  5. Step 5: Solve for x
    x = 2,117,016.99/1,213.96
  6. Step 6: Final answer
    x = 1,743.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.