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Finding the Fourth Proportional to 1,645.67, 2,466.37 and 863.69

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Solution

The fourth proportional to 1,645.67, 2,466.37 and 863.69 is: 1,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.67 : 2,466.37 = 863.69 : x
  2. Step 2: Convert to fraction form
    1,645.67/2,466.37 = 863.69/x
  3. Step 3: Cross multiply
    1,645.67x = 2,466.37 × 863.69
  4. Step 4: Simplify right side
    1,645.67x = 2,130,179.11
  5. Step 5: Solve for x
    x = 2,130,179.11/1,645.67
  6. Step 6: Final answer
    x = 1,294.41

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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.