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Finding the Fourth Proportional to 2,116.03, 3,174.33 and 883.15

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Solution

The fourth proportional to 2,116.03, 3,174.33 and 883.15 is: 1,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.03 : 3,174.33 = 883.15 : x
  2. Step 2: Convert to fraction form
    2,116.03/3,174.33 = 883.15/x
  3. Step 3: Cross multiply
    2,116.03x = 3,174.33 × 883.15
  4. Step 4: Simplify right side
    2,116.03x = 2,803,419.68
  5. Step 5: Solve for x
    x = 2,803,419.68/2,116.03
  6. Step 6: Final answer
    x = 1,324.85

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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.