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Finding the Fourth Proportional to 2,072.76, 3,093.15 and 1,708.26

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Solution

The fourth proportional to 2,072.76, 3,093.15 and 1,708.26 is: 2,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.76 : 3,093.15 = 1,708.26 : x
  2. Step 2: Convert to fraction form
    2,072.76/3,093.15 = 1,708.26/x
  3. Step 3: Cross multiply
    2,072.76x = 3,093.15 × 1,708.26
  4. Step 4: Simplify right side
    2,072.76x = 5,283,899.23
  5. Step 5: Solve for x
    x = 5,283,899.23/2,072.76
  6. Step 6: Final answer
    x = 2,549.21

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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.