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Finding the Fourth Proportional to 2,504.98, 3,454.68 and 1,619.92

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Solution

The fourth proportional to 2,504.98, 3,454.68 and 1,619.92 is: 2,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.98 : 3,454.68 = 1,619.92 : x
  2. Step 2: Convert to fraction form
    2,504.98/3,454.68 = 1,619.92/x
  3. Step 3: Cross multiply
    2,504.98x = 3,454.68 × 1,619.92
  4. Step 4: Simplify right side
    2,504.98x = 5,596,305.23
  5. Step 5: Solve for x
    x = 5,596,305.23/2,504.98
  6. Step 6: Final answer
    x = 2,234.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.