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Finding the Fourth Proportional to 2,021.64, 3,032.96 and 851.74

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Solution

The fourth proportional to 2,021.64, 3,032.96 and 851.74 is: 1,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.64 : 3,032.96 = 851.74 : x
  2. Step 2: Convert to fraction form
    2,021.64/3,032.96 = 851.74/x
  3. Step 3: Cross multiply
    2,021.64x = 3,032.96 × 851.74
  4. Step 4: Simplify right side
    2,021.64x = 2,583,293.35
  5. Step 5: Solve for x
    x = 2,583,293.35/2,021.64
  6. Step 6: Final answer
    x = 1,277.82

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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.