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Finding the Fourth Proportional to 3,060, 4,222.76 and 1,662.80

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Solution

The fourth proportional to 3,060, 4,222.76 and 1,662.80 is: 2,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,060 : 4,222.76 = 1,662.80 : x
  2. Step 2: Convert to fraction form
    3,060/4,222.76 = 1,662.80/x
  3. Step 3: Cross multiply
    3,060x = 4,222.76 × 1,662.80
  4. Step 4: Simplify right side
    3,060x = 7,021,605.33
  5. Step 5: Solve for x
    x = 7,021,605.33/3,060
  6. Step 6: Final answer
    x = 2,294.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.