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Finding the Fourth Proportional to 1,813.14, 2,706.57 and 1,677.78

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Solution

The fourth proportional to 1,813.14, 2,706.57 and 1,677.78 is: 2,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.14 : 2,706.57 = 1,677.78 : x
  2. Step 2: Convert to fraction form
    1,813.14/2,706.57 = 1,677.78/x
  3. Step 3: Cross multiply
    1,813.14x = 2,706.57 × 1,677.78
  4. Step 4: Simplify right side
    1,813.14x = 4,541,029.01
  5. Step 5: Solve for x
    x = 4,541,029.01/1,813.14
  6. Step 6: Final answer
    x = 2,504.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.