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Finding the Fourth Proportional to 2,609.69, 3,915.38 and 966.35

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Solution

The fourth proportional to 2,609.69, 3,915.38 and 966.35 is: 1,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.69 : 3,915.38 = 966.35 : x
  2. Step 2: Convert to fraction form
    2,609.69/3,915.38 = 966.35/x
  3. Step 3: Cross multiply
    2,609.69x = 3,915.38 × 966.35
  4. Step 4: Simplify right side
    2,609.69x = 3,783,639.67
  5. Step 5: Solve for x
    x = 3,783,639.67/2,609.69
  6. Step 6: Final answer
    x = 1,449.85

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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.