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Finding the Fourth Proportional to 1,673.97, 2,511.99 and 749.99

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Solution

The fourth proportional to 1,673.97, 2,511.99 and 749.99 is: 1,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.97 : 2,511.99 = 749.99 : x
  2. Step 2: Convert to fraction form
    1,673.97/2,511.99 = 749.99/x
  3. Step 3: Cross multiply
    1,673.97x = 2,511.99 × 749.99
  4. Step 4: Simplify right side
    1,673.97x = 1,883,954.82
  5. Step 5: Solve for x
    x = 1,883,954.82/1,673.97
  6. Step 6: Final answer
    x = 1,125.44

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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.