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Finding the Fourth Proportional to 3,026.76, 4,540.38 and 835.47

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Solution

The fourth proportional to 3,026.76, 4,540.38 and 835.47 is: 1,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.76 : 4,540.38 = 835.47 : x
  2. Step 2: Convert to fraction form
    3,026.76/4,540.38 = 835.47/x
  3. Step 3: Cross multiply
    3,026.76x = 4,540.38 × 835.47
  4. Step 4: Simplify right side
    3,026.76x = 3,793,351.28
  5. Step 5: Solve for x
    x = 3,793,351.28/3,026.76
  6. Step 6: Final answer
    x = 1,253.27

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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.