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Finding the Fourth Proportional to 2,171.43, 3,256.65 and 611.60

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Solution

The fourth proportional to 2,171.43, 3,256.65 and 611.60 is: 917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.43 : 3,256.65 = 611.60 : x
  2. Step 2: Convert to fraction form
    2,171.43/3,256.65 = 611.60/x
  3. Step 3: Cross multiply
    2,171.43x = 3,256.65 × 611.60
  4. Step 4: Simplify right side
    2,171.43x = 1,991,750.86
  5. Step 5: Solve for x
    x = 1,991,750.86/2,171.43
  6. Step 6: Final answer
    x = 917.25

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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.