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Finding the Fourth Proportional to 2,022.54, 3,031.57 and 852.21

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Solution

The fourth proportional to 2,022.54, 3,031.57 and 852.21 is: 1,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.54 : 3,031.57 = 852.21 : x
  2. Step 2: Convert to fraction form
    2,022.54/3,031.57 = 852.21/x
  3. Step 3: Cross multiply
    2,022.54x = 3,031.57 × 852.21
  4. Step 4: Simplify right side
    2,022.54x = 2,583,534.27
  5. Step 5: Solve for x
    x = 2,583,534.27/2,022.54
  6. Step 6: Final answer
    x = 1,277.37

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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.