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Finding the Fourth Proportional to 1,824.53, 2,517.53 and 1,116

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Solution

The fourth proportional to 1,824.53, 2,517.53 and 1,116 is: 1,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.53 : 2,517.53 = 1,116 : x
  2. Step 2: Convert to fraction form
    1,824.53/2,517.53 = 1,116/x
  3. Step 3: Cross multiply
    1,824.53x = 2,517.53 × 1,116
  4. Step 4: Simplify right side
    1,824.53x = 2,809,557.90
  5. Step 5: Solve for x
    x = 2,809,557.90/1,824.53
  6. Step 6: Final answer
    x = 1,539.88

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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.