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Finding the Fourth Proportional to 1,508.45, 2,081.79 and 845.43

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Solution

The fourth proportional to 1,508.45, 2,081.79 and 845.43 is: 1,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.45 : 2,081.79 = 845.43 : x
  2. Step 2: Convert to fraction form
    1,508.45/2,081.79 = 845.43/x
  3. Step 3: Cross multiply
    1,508.45x = 2,081.79 × 845.43
  4. Step 4: Simplify right side
    1,508.45x = 1,760,007.72
  5. Step 5: Solve for x
    x = 1,760,007.72/1,508.45
  6. Step 6: Final answer
    x = 1,166.77

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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.