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Finding the Fourth Proportional to 1,915.67, 2,872.53 and 682.89

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Solution

The fourth proportional to 1,915.67, 2,872.53 and 682.89 is: 1,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.67 : 2,872.53 = 682.89 : x
  2. Step 2: Convert to fraction form
    1,915.67/2,872.53 = 682.89/x
  3. Step 3: Cross multiply
    1,915.67x = 2,872.53 × 682.89
  4. Step 4: Simplify right side
    1,915.67x = 1,961,622.01
  5. Step 5: Solve for x
    x = 1,961,622.01/1,915.67
  6. Step 6: Final answer
    x = 1,023.99

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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.