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Finding the Fourth Proportional to 2,509.44, 3,460.90 and 1,881.43

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Solution

The fourth proportional to 2,509.44, 3,460.90 and 1,881.43 is: 2,594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.44 : 3,460.90 = 1,881.43 : x
  2. Step 2: Convert to fraction form
    2,509.44/3,460.90 = 1,881.43/x
  3. Step 3: Cross multiply
    2,509.44x = 3,460.90 × 1,881.43
  4. Step 4: Simplify right side
    2,509.44x = 6,511,441.09
  5. Step 5: Solve for x
    x = 6,511,441.09/2,509.44
  6. Step 6: Final answer
    x = 2,594.78

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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.