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Finding the Fourth Proportional to 4,129.08, 6,193.87 and 1,663.54

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Solution

The fourth proportional to 4,129.08, 6,193.87 and 1,663.54 is: 2,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.08 : 6,193.87 = 1,663.54 : x
  2. Step 2: Convert to fraction form
    4,129.08/6,193.87 = 1,663.54/x
  3. Step 3: Cross multiply
    4,129.08x = 6,193.87 × 1,663.54
  4. Step 4: Simplify right side
    4,129.08x = 10,303,730.86
  5. Step 5: Solve for x
    x = 10,303,730.86/4,129.08
  6. Step 6: Final answer
    x = 2,495.41

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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.