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Finding the Fourth Proportional to 2,505.78, 3,457.92 and 1,511.88

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Solution

The fourth proportional to 2,505.78, 3,457.92 and 1,511.88 is: 2,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.78 : 3,457.92 = 1,511.88 : x
  2. Step 2: Convert to fraction form
    2,505.78/3,457.92 = 1,511.88/x
  3. Step 3: Cross multiply
    2,505.78x = 3,457.92 × 1,511.88
  4. Step 4: Simplify right side
    2,505.78x = 5,227,960.09
  5. Step 5: Solve for x
    x = 5,227,960.09/2,505.78
  6. Step 6: Final answer
    x = 2,086.36

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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.