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Finding the Fourth Proportional to 3,308.88, 4,964.67 and 1,459.92

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Solution

The fourth proportional to 3,308.88, 4,964.67 and 1,459.92 is: 2,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.88 : 4,964.67 = 1,459.92 : x
  2. Step 2: Convert to fraction form
    3,308.88/4,964.67 = 1,459.92/x
  3. Step 3: Cross multiply
    3,308.88x = 4,964.67 × 1,459.92
  4. Step 4: Simplify right side
    3,308.88x = 7,248,021.03
  5. Step 5: Solve for x
    x = 7,248,021.03/3,308.88
  6. Step 6: Final answer
    x = 2,190.48

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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.