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Finding the Fourth Proportional to 3,176.16, 4,766.00 and 1,203.09

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Solution

The fourth proportional to 3,176.16, 4,766.00 and 1,203.09 is: 1,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.16 : 4,766.00 = 1,203.09 : x
  2. Step 2: Convert to fraction form
    3,176.16/4,766.00 = 1,203.09/x
  3. Step 3: Cross multiply
    3,176.16x = 4,766.00 × 1,203.09
  4. Step 4: Simplify right side
    3,176.16x = 5,733,920.92
  5. Step 5: Solve for x
    x = 5,733,920.92/3,176.16
  6. Step 6: Final answer
    x = 1,805.30

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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.