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Finding the Fourth Proportional to 3,205.46, 4,804.47 and 1,355.96

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Solution

The fourth proportional to 3,205.46, 4,804.47 and 1,355.96 is: 2,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.46 : 4,804.47 = 1,355.96 : x
  2. Step 2: Convert to fraction form
    3,205.46/4,804.47 = 1,355.96/x
  3. Step 3: Cross multiply
    3,205.46x = 4,804.47 × 1,355.96
  4. Step 4: Simplify right side
    3,205.46x = 6,514,645.12
  5. Step 5: Solve for x
    x = 6,514,645.12/3,205.46
  6. Step 6: Final answer
    x = 2,032.36

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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.