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Finding the Fourth Proportional to 1,795.27, 2,477.41 and 998.57

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Solution

The fourth proportional to 1,795.27, 2,477.41 and 998.57 is: 1,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.27 : 2,477.41 = 998.57 : x
  2. Step 2: Convert to fraction form
    1,795.27/2,477.41 = 998.57/x
  3. Step 3: Cross multiply
    1,795.27x = 2,477.41 × 998.57
  4. Step 4: Simplify right side
    1,795.27x = 2,473,867.30
  5. Step 5: Solve for x
    x = 2,473,867.30/1,795.27
  6. Step 6: Final answer
    x = 1,377.99

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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.