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Finding the Fourth Proportional to 3,023.96, 4,535.33 and 832.61

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Solution

The fourth proportional to 3,023.96, 4,535.33 and 832.61 is: 1,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.96 : 4,535.33 = 832.61 : x
  2. Step 2: Convert to fraction form
    3,023.96/4,535.33 = 832.61/x
  3. Step 3: Cross multiply
    3,023.96x = 4,535.33 × 832.61
  4. Step 4: Simplify right side
    3,023.96x = 3,776,168.29
  5. Step 5: Solve for x
    x = 3,776,168.29/3,023.96
  6. Step 6: Final answer
    x = 1,248.75

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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.