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Finding the Fourth Proportional to 1,915.91, 2,873.15 and 683.09

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Solution

The fourth proportional to 1,915.91, 2,873.15 and 683.09 is: 1,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.91 : 2,873.15 = 683.09 : x
  2. Step 2: Convert to fraction form
    1,915.91/2,873.15 = 683.09/x
  3. Step 3: Cross multiply
    1,915.91x = 2,873.15 × 683.09
  4. Step 4: Simplify right side
    1,915.91x = 1,962,604.81
  5. Step 5: Solve for x
    x = 1,962,604.81/1,915.91
  6. Step 6: Final answer
    x = 1,024.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.