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Finding the Fourth Proportional to 3,046.82, 4,204.58 and 1,720.58

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Solution

The fourth proportional to 3,046.82, 4,204.58 and 1,720.58 is: 2,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.82 : 4,204.58 = 1,720.58 : x
  2. Step 2: Convert to fraction form
    3,046.82/4,204.58 = 1,720.58/x
  3. Step 3: Cross multiply
    3,046.82x = 4,204.58 × 1,720.58
  4. Step 4: Simplify right side
    3,046.82x = 7,234,318.16
  5. Step 5: Solve for x
    x = 7,234,318.16/3,046.82
  6. Step 6: Final answer
    x = 2,374.38

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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.