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Finding the Fourth Proportional to 3,205.84, 4,423.74 and 1,808.32

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Solution

The fourth proportional to 3,205.84, 4,423.74 and 1,808.32 is: 2,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.84 : 4,423.74 = 1,808.32 : x
  2. Step 2: Convert to fraction form
    3,205.84/4,423.74 = 1,808.32/x
  3. Step 3: Cross multiply
    3,205.84x = 4,423.74 × 1,808.32
  4. Step 4: Simplify right side
    3,205.84x = 7,999,537.52
  5. Step 5: Solve for x
    x = 7,999,537.52/3,205.84
  6. Step 6: Final answer
    x = 2,495.30

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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.