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Finding the Fourth Proportional to 3,026.76, 4,540.14 and 835.49

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Solution

The fourth proportional to 3,026.76, 4,540.14 and 835.49 is: 1,253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.76 : 4,540.14 = 835.49 : x
  2. Step 2: Convert to fraction form
    3,026.76/4,540.14 = 835.49/x
  3. Step 3: Cross multiply
    3,026.76x = 4,540.14 × 835.49
  4. Step 4: Simplify right side
    3,026.76x = 3,793,252.92
  5. Step 5: Solve for x
    x = 3,793,252.92/3,026.76
  6. Step 6: Final answer
    x = 1,253.24

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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.