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Finding the Fourth Proportional to 3,205.68, 4,810.83 and 1,357.32

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Solution

The fourth proportional to 3,205.68, 4,810.83 and 1,357.32 is: 2,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.68 : 4,810.83 = 1,357.32 : x
  2. Step 2: Convert to fraction form
    3,205.68/4,810.83 = 1,357.32/x
  3. Step 3: Cross multiply
    3,205.68x = 4,810.83 × 1,357.32
  4. Step 4: Simplify right side
    3,205.68x = 6,529,835.78
  5. Step 5: Solve for x
    x = 6,529,835.78/3,205.68
  6. Step 6: Final answer
    x = 2,036.96

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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.