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Finding the Fourth Proportional to 2,765.93, 3,817.55 and 1,704.23

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Solution

The fourth proportional to 2,765.93, 3,817.55 and 1,704.23 is: 2,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.93 : 3,817.55 = 1,704.23 : x
  2. Step 2: Convert to fraction form
    2,765.93/3,817.55 = 1,704.23/x
  3. Step 3: Cross multiply
    2,765.93x = 3,817.55 × 1,704.23
  4. Step 4: Simplify right side
    2,765.93x = 6,505,955.63
  5. Step 5: Solve for x
    x = 6,505,955.63/2,765.93
  6. Step 6: Final answer
    x = 2,352.18

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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.