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Finding the Fourth Proportional to 2,817.52, 3,887.94 and 1,683.16

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Solution

The fourth proportional to 2,817.52, 3,887.94 and 1,683.16 is: 2,322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.52 : 3,887.94 = 1,683.16 : x
  2. Step 2: Convert to fraction form
    2,817.52/3,887.94 = 1,683.16/x
  3. Step 3: Cross multiply
    2,817.52x = 3,887.94 × 1,683.16
  4. Step 4: Simplify right side
    2,817.52x = 6,544,025.09
  5. Step 5: Solve for x
    x = 6,544,025.09/2,817.52
  6. Step 6: Final answer
    x = 2,322.62

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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.