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Finding the Fourth Proportional to 2,699.94, 4,049.15 and 1,711.28

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Solution

The fourth proportional to 2,699.94, 4,049.15 and 1,711.28 is: 2,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.94 : 4,049.15 = 1,711.28 : x
  2. Step 2: Convert to fraction form
    2,699.94/4,049.15 = 1,711.28/x
  3. Step 3: Cross multiply
    2,699.94x = 4,049.15 × 1,711.28
  4. Step 4: Simplify right side
    2,699.94x = 6,929,220.86
  5. Step 5: Solve for x
    x = 6,929,220.86/2,699.94
  6. Step 6: Final answer
    x = 2,566.44

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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.