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Finding the Fourth Proportional to 1,674.82, 2,499.94 and 1,477.77

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Solution

The fourth proportional to 1,674.82, 2,499.94 and 1,477.77 is: 2,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.82 : 2,499.94 = 1,477.77 : x
  2. Step 2: Convert to fraction form
    1,674.82/2,499.94 = 1,477.77/x
  3. Step 3: Cross multiply
    1,674.82x = 2,499.94 × 1,477.77
  4. Step 4: Simplify right side
    1,674.82x = 3,694,336.33
  5. Step 5: Solve for x
    x = 3,694,336.33/1,674.82
  6. Step 6: Final answer
    x = 2,205.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.