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Finding the Fourth Proportional to 3,154.38, 4,733.54 and 1,305.15

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Solution

The fourth proportional to 3,154.38, 4,733.54 and 1,305.15 is: 1,958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.38 : 4,733.54 = 1,305.15 : x
  2. Step 2: Convert to fraction form
    3,154.38/4,733.54 = 1,305.15/x
  3. Step 3: Cross multiply
    3,154.38x = 4,733.54 × 1,305.15
  4. Step 4: Simplify right side
    3,154.38x = 6,177,973.21
  5. Step 5: Solve for x
    x = 6,177,973.21/3,154.38
  6. Step 6: Final answer
    x = 1,958.54

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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.