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Finding the Fourth Proportional to 2,735.30, 4,103.87 and 886.44

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Solution

The fourth proportional to 2,735.30, 4,103.87 and 886.44 is: 1,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.30 : 4,103.87 = 886.44 : x
  2. Step 2: Convert to fraction form
    2,735.30/4,103.87 = 886.44/x
  3. Step 3: Cross multiply
    2,735.30x = 4,103.87 × 886.44
  4. Step 4: Simplify right side
    2,735.30x = 3,637,845.48
  5. Step 5: Solve for x
    x = 3,637,845.48/2,735.30
  6. Step 6: Final answer
    x = 1,329.96

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1.5x scale

Why These Related Problems?

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