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Finding the Fourth Proportional to 4,129.01, 6,191.90 and 1,663.37

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Solution

The fourth proportional to 4,129.01, 6,191.90 and 1,663.37 is: 2,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.01 : 6,191.90 = 1,663.37 : x
  2. Step 2: Convert to fraction form
    4,129.01/6,191.90 = 1,663.37/x
  3. Step 3: Cross multiply
    4,129.01x = 6,191.90 × 1,663.37
  4. Step 4: Simplify right side
    4,129.01x = 10,299,412.39
  5. Step 5: Solve for x
    x = 10,299,412.39/4,129.01
  6. Step 6: Final answer
    x = 2,494.40

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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.