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Finding the Fourth Proportional to 3,205.32, 4,804.68 and 1,744.08

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Solution

The fourth proportional to 3,205.32, 4,804.68 and 1,744.08 is: 2,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.32 : 4,804.68 = 1,744.08 : x
  2. Step 2: Convert to fraction form
    3,205.32/4,804.68 = 1,744.08/x
  3. Step 3: Cross multiply
    3,205.32x = 4,804.68 × 1,744.08
  4. Step 4: Simplify right side
    3,205.32x = 8,379,746.29
  5. Step 5: Solve for x
    x = 8,379,746.29/3,205.32
  6. Step 6: Final answer
    x = 2,614.32

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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.