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Finding the Fourth Proportional to 3,109.41, 4,290.84 and 1,851.30

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Solution

The fourth proportional to 3,109.41, 4,290.84 and 1,851.30 is: 2,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.41 : 4,290.84 = 1,851.30 : x
  2. Step 2: Convert to fraction form
    3,109.41/4,290.84 = 1,851.30/x
  3. Step 3: Cross multiply
    3,109.41x = 4,290.84 × 1,851.30
  4. Step 4: Simplify right side
    3,109.41x = 7,943,632.09
  5. Step 5: Solve for x
    x = 7,943,632.09/3,109.41
  6. Step 6: Final answer
    x = 2,554.71

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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.