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Finding the Fourth Proportional to 3,173.60, 4,765.80 and 2,352.80

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Solution

The fourth proportional to 3,173.60, 4,765.80 and 2,352.80 is: 3,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.60 : 4,765.80 = 2,352.80 : x
  2. Step 2: Convert to fraction form
    3,173.60/4,765.80 = 2,352.80/x
  3. Step 3: Cross multiply
    3,173.60x = 4,765.80 × 2,352.80
  4. Step 4: Simplify right side
    3,173.60x = 11,212,974.24
  5. Step 5: Solve for x
    x = 11,212,974.24/3,173.60
  6. Step 6: Final answer
    x = 3,533.20

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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.