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Finding the Fourth Proportional to 1,880.26, 2,818.49 and 905.83

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Solution

The fourth proportional to 1,880.26, 2,818.49 and 905.83 is: 1,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.26 : 2,818.49 = 905.83 : x
  2. Step 2: Convert to fraction form
    1,880.26/2,818.49 = 905.83/x
  3. Step 3: Cross multiply
    1,880.26x = 2,818.49 × 905.83
  4. Step 4: Simplify right side
    1,880.26x = 2,553,072.80
  5. Step 5: Solve for x
    x = 2,553,072.80/1,880.26
  6. Step 6: Final answer
    x = 1,357.83

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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.