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Finding the Fourth Proportional to 3,208.52, 4,804.08 and 1,666.28

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Solution

The fourth proportional to 3,208.52, 4,804.08 and 1,666.28 is: 2,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.52 : 4,804.08 = 1,666.28 : x
  2. Step 2: Convert to fraction form
    3,208.52/4,804.08 = 1,666.28/x
  3. Step 3: Cross multiply
    3,208.52x = 4,804.08 × 1,666.28
  4. Step 4: Simplify right side
    3,208.52x = 8,004,942.42
  5. Step 5: Solve for x
    x = 8,004,942.42/3,208.52
  6. Step 6: Final answer
    x = 2,494.90

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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.