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Finding the Fourth Proportional to 3,771.70, 5,659.26 and 1,580.92

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Solution

The fourth proportional to 3,771.70, 5,659.26 and 1,580.92 is: 2,372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.70 : 5,659.26 = 1,580.92 : x
  2. Step 2: Convert to fraction form
    3,771.70/5,659.26 = 1,580.92/x
  3. Step 3: Cross multiply
    3,771.70x = 5,659.26 × 1,580.92
  4. Step 4: Simplify right side
    3,771.70x = 8,946,837.32
  5. Step 5: Solve for x
    x = 8,946,837.32/3,771.70
  6. Step 6: Final answer
    x = 2,372.10

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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.