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Finding the Fourth Proportional to 1,915.54, 2,873.59 and 682.85

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Solution

The fourth proportional to 1,915.54, 2,873.59 and 682.85 is: 1,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.54 : 2,873.59 = 682.85 : x
  2. Step 2: Convert to fraction form
    1,915.54/2,873.59 = 682.85/x
  3. Step 3: Cross multiply
    1,915.54x = 2,873.59 × 682.85
  4. Step 4: Simplify right side
    1,915.54x = 1,962,236.41
  5. Step 5: Solve for x
    x = 1,962,236.41/1,915.54
  6. Step 6: Final answer
    x = 1,024.38

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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.