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Finding the Fourth Proportional to 3,057, 4,218.64 and 1,659.74

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Solution

The fourth proportional to 3,057, 4,218.64 and 1,659.74 is: 2,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057 : 4,218.64 = 1,659.74 : x
  2. Step 2: Convert to fraction form
    3,057/4,218.64 = 1,659.74/x
  3. Step 3: Cross multiply
    3,057x = 4,218.64 × 1,659.74
  4. Step 4: Simplify right side
    3,057x = 7,001,845.55
  5. Step 5: Solve for x
    x = 7,001,845.55/3,057
  6. Step 6: Final answer
    x = 2,290.43

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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.