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Finding the Fourth Proportional to 2,735.64, 4,104 and 886.41

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Solution

The fourth proportional to 2,735.64, 4,104 and 886.41 is: 1,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.64 : 4,104 = 886.41 : x
  2. Step 2: Convert to fraction form
    2,735.64/4,104 = 886.41/x
  3. Step 3: Cross multiply
    2,735.64x = 4,104 × 886.41
  4. Step 4: Simplify right side
    2,735.64x = 3,637,826.64
  5. Step 5: Solve for x
    x = 3,637,826.64/2,735.64
  6. Step 6: Final answer
    x = 1,329.79

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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.