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Finding the Fourth Proportional to 2,683.98, 3,705.05 and 2,515.85

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Solution

The fourth proportional to 2,683.98, 3,705.05 and 2,515.85 is: 3,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.98 : 3,705.05 = 2,515.85 : x
  2. Step 2: Convert to fraction form
    2,683.98/3,705.05 = 2,515.85/x
  3. Step 3: Cross multiply
    2,683.98x = 3,705.05 × 2,515.85
  4. Step 4: Simplify right side
    2,683.98x = 9,321,346.73
  5. Step 5: Solve for x
    x = 9,321,346.73/2,683.98
  6. Step 6: Final answer
    x = 3,472.96

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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.