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Finding the Fourth Proportional to 3,163.60, 4,745.40 and 2,947.60

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Solution

The fourth proportional to 3,163.60, 4,745.40 and 2,947.60 is: 4,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.60 : 4,745.40 = 2,947.60 : x
  2. Step 2: Convert to fraction form
    3,163.60/4,745.40 = 2,947.60/x
  3. Step 3: Cross multiply
    3,163.60x = 4,745.40 × 2,947.60
  4. Step 4: Simplify right side
    3,163.60x = 13,987,541.04
  5. Step 5: Solve for x
    x = 13,987,541.04/3,163.60
  6. Step 6: Final answer
    x = 4,421.40

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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.