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Finding the Fourth Proportional to 2,817.27, 3,887.24 and 1,683.47

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Solution

The fourth proportional to 2,817.27, 3,887.24 and 1,683.47 is: 2,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.27 : 3,887.24 = 1,683.47 : x
  2. Step 2: Convert to fraction form
    2,817.27/3,887.24 = 1,683.47/x
  3. Step 3: Cross multiply
    2,817.27x = 3,887.24 × 1,683.47
  4. Step 4: Simplify right side
    2,817.27x = 6,544,024.07
  5. Step 5: Solve for x
    x = 6,544,024.07/2,817.27
  6. Step 6: Final answer
    x = 2,322.82

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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.