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Finding the Fourth Proportional to 1,819.63, 2,511.09 and 991.63

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Solution

The fourth proportional to 1,819.63, 2,511.09 and 991.63 is: 1,368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.63 : 2,511.09 = 991.63 : x
  2. Step 2: Convert to fraction form
    1,819.63/2,511.09 = 991.63/x
  3. Step 3: Cross multiply
    1,819.63x = 2,511.09 × 991.63
  4. Step 4: Simplify right side
    1,819.63x = 2,490,054.66
  5. Step 5: Solve for x
    x = 2,490,054.66/1,819.63
  6. Step 6: Final answer
    x = 1,368.44

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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.