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Finding the Fourth Proportional to 2,735.60, 4,103.40 and 1,900.40

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Solution

The fourth proportional to 2,735.60, 4,103.40 and 1,900.40 is: 2,850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.60 : 4,103.40 = 1,900.40 : x
  2. Step 2: Convert to fraction form
    2,735.60/4,103.40 = 1,900.40/x
  3. Step 3: Cross multiply
    2,735.60x = 4,103.40 × 1,900.40
  4. Step 4: Simplify right side
    2,735.60x = 7,798,101.36
  5. Step 5: Solve for x
    x = 7,798,101.36/2,735.60
  6. Step 6: Final answer
    x = 2,850.60

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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.