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Finding the Fourth Proportional to 3,771.50, 5,651.84 and 1,660.58

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Solution

The fourth proportional to 3,771.50, 5,651.84 and 1,660.58 is: 2,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.50 : 5,651.84 = 1,660.58 : x
  2. Step 2: Convert to fraction form
    3,771.50/5,651.84 = 1,660.58/x
  3. Step 3: Cross multiply
    3,771.50x = 5,651.84 × 1,660.58
  4. Step 4: Simplify right side
    3,771.50x = 9,385,332.47
  5. Step 5: Solve for x
    x = 9,385,332.47/3,771.50
  6. Step 6: Final answer
    x = 2,488.49

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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.