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Finding the Fourth Proportional to 4,129.40, 6,188.70 and 1,662.20

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Solution

The fourth proportional to 4,129.40, 6,188.70 and 1,662.20 is: 2,491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.40 : 6,188.70 = 1,662.20 : x
  2. Step 2: Convert to fraction form
    4,129.40/6,188.70 = 1,662.20/x
  3. Step 3: Cross multiply
    4,129.40x = 6,188.70 × 1,662.20
  4. Step 4: Simplify right side
    4,129.40x = 10,286,857.14
  5. Step 5: Solve for x
    x = 10,286,857.14/4,129.40
  6. Step 6: Final answer
    x = 2,491.13

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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.