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Finding the Fourth Proportional to 2,541.78, 3,506.49 and 1,493.10

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Solution

The fourth proportional to 2,541.78, 3,506.49 and 1,493.10 is: 2,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.78 : 3,506.49 = 1,493.10 : x
  2. Step 2: Convert to fraction form
    2,541.78/3,506.49 = 1,493.10/x
  3. Step 3: Cross multiply
    2,541.78x = 3,506.49 × 1,493.10
  4. Step 4: Simplify right side
    2,541.78x = 5,235,540.22
  5. Step 5: Solve for x
    x = 5,235,540.22/2,541.78
  6. Step 6: Final answer
    x = 2,059.79

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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.