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Finding the Fourth Proportional to 4,706.94, 7,065 and 2,243.46

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Solution

The fourth proportional to 4,706.94, 7,065 and 2,243.46 is: 3,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.94 : 7,065 = 2,243.46 : x
  2. Step 2: Convert to fraction form
    4,706.94/7,065 = 2,243.46/x
  3. Step 3: Cross multiply
    4,706.94x = 7,065 × 2,243.46
  4. Step 4: Simplify right side
    4,706.94x = 15,850,044.90
  5. Step 5: Solve for x
    x = 15,850,044.90/4,706.94
  6. Step 6: Final answer
    x = 3,367.38

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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.