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Finding the Fourth Proportional to 2,173.60, 3,259.20 and 873.60

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Solution

The fourth proportional to 2,173.60, 3,259.20 and 873.60 is: 1,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.60 : 3,259.20 = 873.60 : x
  2. Step 2: Convert to fraction form
    2,173.60/3,259.20 = 873.60/x
  3. Step 3: Cross multiply
    2,173.60x = 3,259.20 × 873.60
  4. Step 4: Simplify right side
    2,173.60x = 2,847,237.12
  5. Step 5: Solve for x
    x = 2,847,237.12/2,173.60
  6. Step 6: Final answer
    x = 1,309.92

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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.