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Finding the Fourth Proportional to 3,668.70, 5,501.82 and 1,202.85

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Solution

The fourth proportional to 3,668.70, 5,501.82 and 1,202.85 is: 1,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.70 : 5,501.82 = 1,202.85 : x
  2. Step 2: Convert to fraction form
    3,668.70/5,501.82 = 1,202.85/x
  3. Step 3: Cross multiply
    3,668.70x = 5,501.82 × 1,202.85
  4. Step 4: Simplify right side
    3,668.70x = 6,617,864.19
  5. Step 5: Solve for x
    x = 6,617,864.19/3,668.70
  6. Step 6: Final answer
    x = 1,803.87

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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.