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Finding the Fourth Proportional to 3,159.62, 4,739.96 and 967.82

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Solution

The fourth proportional to 3,159.62, 4,739.96 and 967.82 is: 1,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.62 : 4,739.96 = 967.82 : x
  2. Step 2: Convert to fraction form
    3,159.62/4,739.96 = 967.82/x
  3. Step 3: Cross multiply
    3,159.62x = 4,739.96 × 967.82
  4. Step 4: Simplify right side
    3,159.62x = 4,587,428.09
  5. Step 5: Solve for x
    x = 4,587,428.09/3,159.62
  6. Step 6: Final answer
    x = 1,451.89

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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.