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Finding the Fourth Proportional to 2,735.64, 4,103.43 and 1,004.25

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Solution

The fourth proportional to 2,735.64, 4,103.43 and 1,004.25 is: 1,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.64 : 4,103.43 = 1,004.25 : x
  2. Step 2: Convert to fraction form
    2,735.64/4,103.43 = 1,004.25/x
  3. Step 3: Cross multiply
    2,735.64x = 4,103.43 × 1,004.25
  4. Step 4: Simplify right side
    2,735.64x = 4,120,869.58
  5. Step 5: Solve for x
    x = 4,120,869.58/2,735.64
  6. Step 6: Final answer
    x = 1,506.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.