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Finding the Fourth Proportional to 2,117.67, 3,174.21 and 885.75

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Solution

The fourth proportional to 2,117.67, 3,174.21 and 885.75 is: 1,327.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.67 : 3,174.21 = 885.75 : x
  2. Step 2: Convert to fraction form
    2,117.67/3,174.21 = 885.75/x
  3. Step 3: Cross multiply
    2,117.67x = 3,174.21 × 885.75
  4. Step 4: Simplify right side
    2,117.67x = 2,811,556.51
  5. Step 5: Solve for x
    x = 2,811,556.51/2,117.67
  6. Step 6: Final answer
    x = 1,327.67

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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.