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Finding the Fourth Proportional to 3,026.97, 4,539.65 and 835.11

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Solution

The fourth proportional to 3,026.97, 4,539.65 and 835.11 is: 1,252.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.97 : 4,539.65 = 835.11 : x
  2. Step 2: Convert to fraction form
    3,026.97/4,539.65 = 835.11/x
  3. Step 3: Cross multiply
    3,026.97x = 4,539.65 × 835.11
  4. Step 4: Simplify right side
    3,026.97x = 3,791,102.94
  5. Step 5: Solve for x
    x = 3,791,102.94/3,026.97
  6. Step 6: Final answer
    x = 1,252.44

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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.