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Finding the Fourth Proportional to 2,610.58, 3,913.44 and 1,310.54

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Solution

The fourth proportional to 2,610.58, 3,913.44 and 1,310.54 is: 1,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.58 : 3,913.44 = 1,310.54 : x
  2. Step 2: Convert to fraction form
    2,610.58/3,913.44 = 1,310.54/x
  3. Step 3: Cross multiply
    2,610.58x = 3,913.44 × 1,310.54
  4. Step 4: Simplify right side
    2,610.58x = 5,128,719.66
  5. Step 5: Solve for x
    x = 5,128,719.66/2,610.58
  6. Step 6: Final answer
    x = 1,964.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.