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Finding the Fourth Proportional to 4,162.49, 6,246.03 and 1,697.11

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Solution

The fourth proportional to 4,162.49, 6,246.03 and 1,697.11 is: 2,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.49 : 6,246.03 = 1,697.11 : x
  2. Step 2: Convert to fraction form
    4,162.49/6,246.03 = 1,697.11/x
  3. Step 3: Cross multiply
    4,162.49x = 6,246.03 × 1,697.11
  4. Step 4: Simplify right side
    4,162.49x = 10,600,199.97
  5. Step 5: Solve for x
    x = 10,600,199.97/4,162.49
  6. Step 6: Final answer
    x = 2,546.60

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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.