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Finding the Fourth Proportional to 1,910.23, 2,863.37 and 983.72

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Solution

The fourth proportional to 1,910.23, 2,863.37 and 983.72 is: 1,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.23 : 2,863.37 = 983.72 : x
  2. Step 2: Convert to fraction form
    1,910.23/2,863.37 = 983.72/x
  3. Step 3: Cross multiply
    1,910.23x = 2,863.37 × 983.72
  4. Step 4: Simplify right side
    1,910.23x = 2,816,763.95
  5. Step 5: Solve for x
    x = 2,816,763.95/1,910.23
  6. Step 6: Final answer
    x = 1,474.57

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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.