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Finding the Fourth Proportional to 3,230.80, 4,457.97 and 1,904.32

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Solution

The fourth proportional to 3,230.80, 4,457.97 and 1,904.32 is: 2,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.80 : 4,457.97 = 1,904.32 : x
  2. Step 2: Convert to fraction form
    3,230.80/4,457.97 = 1,904.32/x
  3. Step 3: Cross multiply
    3,230.80x = 4,457.97 × 1,904.32
  4. Step 4: Simplify right side
    3,230.80x = 8,489,401.43
  5. Step 5: Solve for x
    x = 8,489,401.43/3,230.80
  6. Step 6: Final answer
    x = 2,627.65

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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.