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Finding the Fourth Proportional to 2,171.85, 3,258.99 and 786.34

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Solution

The fourth proportional to 2,171.85, 3,258.99 and 786.34 is: 1,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.85 : 3,258.99 = 786.34 : x
  2. Step 2: Convert to fraction form
    2,171.85/3,258.99 = 786.34/x
  3. Step 3: Cross multiply
    2,171.85x = 3,258.99 × 786.34
  4. Step 4: Simplify right side
    2,171.85x = 2,562,678.27
  5. Step 5: Solve for x
    x = 2,562,678.27/2,171.85
  6. Step 6: Final answer
    x = 1,179.95

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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.