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Finding the Fourth Proportional to 3,176.94, 4,763.05 and 1,325.43

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Solution

The fourth proportional to 3,176.94, 4,763.05 and 1,325.43 is: 1,987.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.94 : 4,763.05 = 1,325.43 : x
  2. Step 2: Convert to fraction form
    3,176.94/4,763.05 = 1,325.43/x
  3. Step 3: Cross multiply
    3,176.94x = 4,763.05 × 1,325.43
  4. Step 4: Simplify right side
    3,176.94x = 6,313,086.05
  5. Step 5: Solve for x
    x = 6,313,086.05/3,176.94
  6. Step 6: Final answer
    x = 1,987.16

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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.