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Finding the Fourth Proportional to 3,320.97, 4,977.96 and 1,674.06

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Solution

The fourth proportional to 3,320.97, 4,977.96 and 1,674.06 is: 2,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.97 : 4,977.96 = 1,674.06 : x
  2. Step 2: Convert to fraction form
    3,320.97/4,977.96 = 1,674.06/x
  3. Step 3: Cross multiply
    3,320.97x = 4,977.96 × 1,674.06
  4. Step 4: Simplify right side
    3,320.97x = 8,333,403.72
  5. Step 5: Solve for x
    x = 8,333,403.72/3,320.97
  6. Step 6: Final answer
    x = 2,509.33

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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.