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Finding the Fourth Proportional to 2,683.72, 3,705.54 and 2,314.66

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Solution

The fourth proportional to 2,683.72, 3,705.54 and 2,314.66 is: 3,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.72 : 3,705.54 = 2,314.66 : x
  2. Step 2: Convert to fraction form
    2,683.72/3,705.54 = 2,314.66/x
  3. Step 3: Cross multiply
    2,683.72x = 3,705.54 × 2,314.66
  4. Step 4: Simplify right side
    2,683.72x = 8,577,065.22
  5. Step 5: Solve for x
    x = 8,577,065.22/2,683.72
  6. Step 6: Final answer
    x = 3,195.96

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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.