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Finding the Fourth Proportional to 4,114.48, 6,171 and 1,193.20

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Solution

The fourth proportional to 4,114.48, 6,171 and 1,193.20 is: 1,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.48 : 6,171 = 1,193.20 : x
  2. Step 2: Convert to fraction form
    4,114.48/6,171 = 1,193.20/x
  3. Step 3: Cross multiply
    4,114.48x = 6,171 × 1,193.20
  4. Step 4: Simplify right side
    4,114.48x = 7,363,237.20
  5. Step 5: Solve for x
    x = 7,363,237.20/4,114.48
  6. Step 6: Final answer
    x = 1,789.59

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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.