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Finding the Fourth Proportional to 2,812.32, 4,217.58 and 1,944

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Solution

The fourth proportional to 2,812.32, 4,217.58 and 1,944 is: 2,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.32 : 4,217.58 = 1,944 : x
  2. Step 2: Convert to fraction form
    2,812.32/4,217.58 = 1,944/x
  3. Step 3: Cross multiply
    2,812.32x = 4,217.58 × 1,944
  4. Step 4: Simplify right side
    2,812.32x = 8,198,975.52
  5. Step 5: Solve for x
    x = 8,198,975.52/2,812.32
  6. Step 6: Final answer
    x = 2,915.38

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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.