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Finding the Fourth Proportional to 1,807.82, 2,495.88 and 1,179.44

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Solution

The fourth proportional to 1,807.82, 2,495.88 and 1,179.44 is: 1,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.82 : 2,495.88 = 1,179.44 : x
  2. Step 2: Convert to fraction form
    1,807.82/2,495.88 = 1,179.44/x
  3. Step 3: Cross multiply
    1,807.82x = 2,495.88 × 1,179.44
  4. Step 4: Simplify right side
    1,807.82x = 2,943,728.23
  5. Step 5: Solve for x
    x = 2,943,728.23/1,807.82
  6. Step 6: Final answer
    x = 1,628.33

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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.