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Finding the Fourth Proportional to 2,706.85, 4,056.57 and 1,317.43

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Solution

The fourth proportional to 2,706.85, 4,056.57 and 1,317.43 is: 1,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.85 : 4,056.57 = 1,317.43 : x
  2. Step 2: Convert to fraction form
    2,706.85/4,056.57 = 1,317.43/x
  3. Step 3: Cross multiply
    2,706.85x = 4,056.57 × 1,317.43
  4. Step 4: Simplify right side
    2,706.85x = 5,344,247.02
  5. Step 5: Solve for x
    x = 5,344,247.02/2,706.85
  6. Step 6: Final answer
    x = 1,974.34

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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.