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Finding the Fourth Proportional to 2,152.38, 3,229.02 and 919.86

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Solution

The fourth proportional to 2,152.38, 3,229.02 and 919.86 is: 1,379.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.38 : 3,229.02 = 919.86 : x
  2. Step 2: Convert to fraction form
    2,152.38/3,229.02 = 919.86/x
  3. Step 3: Cross multiply
    2,152.38x = 3,229.02 × 919.86
  4. Step 4: Simplify right side
    2,152.38x = 2,970,246.34
  5. Step 5: Solve for x
    x = 2,970,246.34/2,152.38
  6. Step 6: Final answer
    x = 1,379.98

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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.