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Finding the Fourth Proportional to 3,208.54, 4,814.76 and 1,260.76

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Solution

The fourth proportional to 3,208.54, 4,814.76 and 1,260.76 is: 1,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.54 : 4,814.76 = 1,260.76 : x
  2. Step 2: Convert to fraction form
    3,208.54/4,814.76 = 1,260.76/x
  3. Step 3: Cross multiply
    3,208.54x = 4,814.76 × 1,260.76
  4. Step 4: Simplify right side
    3,208.54x = 6,070,256.82
  5. Step 5: Solve for x
    x = 6,070,256.82/3,208.54
  6. Step 6: Final answer
    x = 1,891.91

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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.