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Finding the Fourth Proportional to 3,080.25, 4,250.75 and 1,683

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Solution

The fourth proportional to 3,080.25, 4,250.75 and 1,683 is: 2,322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.25 : 4,250.75 = 1,683 : x
  2. Step 2: Convert to fraction form
    3,080.25/4,250.75 = 1,683/x
  3. Step 3: Cross multiply
    3,080.25x = 4,250.75 × 1,683
  4. Step 4: Simplify right side
    3,080.25x = 7,154,003.84
  5. Step 5: Solve for x
    x = 7,154,003.84/3,080.25
  6. Step 6: Final answer
    x = 2,322.54

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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.