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Finding the Fourth Proportional to 3,122.46, 4,308.99 and 1,706.15

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Solution

The fourth proportional to 3,122.46, 4,308.99 and 1,706.15 is: 2,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.46 : 4,308.99 = 1,706.15 : x
  2. Step 2: Convert to fraction form
    3,122.46/4,308.99 = 1,706.15/x
  3. Step 3: Cross multiply
    3,122.46x = 4,308.99 × 1,706.15
  4. Step 4: Simplify right side
    3,122.46x = 7,351,787.66
  5. Step 5: Solve for x
    x = 7,351,787.66/3,122.46
  6. Step 6: Final answer
    x = 2,354.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.