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Finding the Fourth Proportional to 4,163.96, 6,245.64 and 1,698.08

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Solution

The fourth proportional to 4,163.96, 6,245.64 and 1,698.08 is: 2,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.96 : 6,245.64 = 1,698.08 : x
  2. Step 2: Convert to fraction form
    4,163.96/6,245.64 = 1,698.08/x
  3. Step 3: Cross multiply
    4,163.96x = 6,245.64 × 1,698.08
  4. Step 4: Simplify right side
    4,163.96x = 10,605,596.37
  5. Step 5: Solve for x
    x = 10,605,596.37/4,163.96
  6. Step 6: Final answer
    x = 2,547.00

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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.