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Finding the Fourth Proportional to 2,072.44, 2,847.17 and 1,854.28

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Solution

The fourth proportional to 2,072.44, 2,847.17 and 1,854.28 is: 2,547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.44 : 2,847.17 = 1,854.28 : x
  2. Step 2: Convert to fraction form
    2,072.44/2,847.17 = 1,854.28/x
  3. Step 3: Cross multiply
    2,072.44x = 2,847.17 × 1,854.28
  4. Step 4: Simplify right side
    2,072.44x = 5,279,450.39
  5. Step 5: Solve for x
    x = 5,279,450.39/2,072.44
  6. Step 6: Final answer
    x = 2,547.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.