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Finding the Fourth Proportional to 1,508.45, 2,081.78 and 845.27

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Solution

The fourth proportional to 1,508.45, 2,081.78 and 845.27 is: 1,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.45 : 2,081.78 = 845.27 : x
  2. Step 2: Convert to fraction form
    1,508.45/2,081.78 = 845.27/x
  3. Step 3: Cross multiply
    1,508.45x = 2,081.78 × 845.27
  4. Step 4: Simplify right side
    1,508.45x = 1,759,666.18
  5. Step 5: Solve for x
    x = 1,759,666.18/1,508.45
  6. Step 6: Final answer
    x = 1,166.54

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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.