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Finding the Fourth Proportional to 1,504.98, 2,254.64 and 1,179.36

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Solution

The fourth proportional to 1,504.98, 2,254.64 and 1,179.36 is: 1,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.98 : 2,254.64 = 1,179.36 : x
  2. Step 2: Convert to fraction form
    1,504.98/2,254.64 = 1,179.36/x
  3. Step 3: Cross multiply
    1,504.98x = 2,254.64 × 1,179.36
  4. Step 4: Simplify right side
    1,504.98x = 2,659,026.33
  5. Step 5: Solve for x
    x = 2,659,026.33/1,504.98
  6. Step 6: Final answer
    x = 1,766.82

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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.