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Finding the Fourth Proportional to 2,021.75, 3,032.63 and 653.75

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Solution

The fourth proportional to 2,021.75, 3,032.63 and 653.75 is: 980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.75 : 3,032.63 = 653.75 : x
  2. Step 2: Convert to fraction form
    2,021.75/3,032.63 = 653.75/x
  3. Step 3: Cross multiply
    2,021.75x = 3,032.63 × 653.75
  4. Step 4: Simplify right side
    2,021.75x = 1,982,581.86
  5. Step 5: Solve for x
    x = 1,982,581.86/2,021.75
  6. Step 6: Final answer
    x = 980.63

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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.