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Finding the Fourth Proportional to 3,260.09, 4,498.91 and 1,768

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Solution

The fourth proportional to 3,260.09, 4,498.91 and 1,768 is: 2,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.09 : 4,498.91 = 1,768 : x
  2. Step 2: Convert to fraction form
    3,260.09/4,498.91 = 1,768/x
  3. Step 3: Cross multiply
    3,260.09x = 4,498.91 × 1,768
  4. Step 4: Simplify right side
    3,260.09x = 7,954,072.88
  5. Step 5: Solve for x
    x = 7,954,072.88/3,260.09
  6. Step 6: Final answer
    x = 2,439.84

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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.