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Finding the Fourth Proportional to 3,205.77, 4,424.59 and 2,026

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Solution

The fourth proportional to 3,205.77, 4,424.59 and 2,026 is: 2,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.77 : 4,424.59 = 2,026 : x
  2. Step 2: Convert to fraction form
    3,205.77/4,424.59 = 2,026/x
  3. Step 3: Cross multiply
    3,205.77x = 4,424.59 × 2,026
  4. Step 4: Simplify right side
    3,205.77x = 8,964,219.34
  5. Step 5: Solve for x
    x = 8,964,219.34/3,205.77
  6. Step 6: Final answer
    x = 2,796.28

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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.