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Finding the Fourth Proportional to 2,148.44, 3,222.83 and 915.86

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Solution

The fourth proportional to 2,148.44, 3,222.83 and 915.86 is: 1,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.44 : 3,222.83 = 915.86 : x
  2. Step 2: Convert to fraction form
    2,148.44/3,222.83 = 915.86/x
  3. Step 3: Cross multiply
    2,148.44x = 3,222.83 × 915.86
  4. Step 4: Simplify right side
    2,148.44x = 2,951,659.79
  5. Step 5: Solve for x
    x = 2,951,659.79/2,148.44
  6. Step 6: Final answer
    x = 1,373.86

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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.