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Finding the Fourth Proportional to 3,186.96, 4,778 and 1,454.38

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Solution

The fourth proportional to 3,186.96, 4,778 and 1,454.38 is: 2,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.96 : 4,778 = 1,454.38 : x
  2. Step 2: Convert to fraction form
    3,186.96/4,778 = 1,454.38/x
  3. Step 3: Cross multiply
    3,186.96x = 4,778 × 1,454.38
  4. Step 4: Simplify right side
    3,186.96x = 6,949,027.64
  5. Step 5: Solve for x
    x = 6,949,027.64/3,186.96
  6. Step 6: Final answer
    x = 2,180.46

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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.