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Finding the Fourth Proportional to 3,301.95, 4,945.73 and 1,655.63

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Solution

The fourth proportional to 3,301.95, 4,945.73 and 1,655.63 is: 2,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.95 : 4,945.73 = 1,655.63 : x
  2. Step 2: Convert to fraction form
    3,301.95/4,945.73 = 1,655.63/x
  3. Step 3: Cross multiply
    3,301.95x = 4,945.73 × 1,655.63
  4. Step 4: Simplify right side
    3,301.95x = 8,188,265.95
  5. Step 5: Solve for x
    x = 8,188,265.95/3,301.95
  6. Step 6: Final answer
    x = 2,479.83

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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.