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Finding the Fourth Proportional to 4,944.80, 7,414.54 and 1,656.80

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Solution

The fourth proportional to 4,944.80, 7,414.54 and 1,656.80 is: 2,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.80 : 7,414.54 = 1,656.80 : x
  2. Step 2: Convert to fraction form
    4,944.80/7,414.54 = 1,656.80/x
  3. Step 3: Cross multiply
    4,944.80x = 7,414.54 × 1,656.80
  4. Step 4: Simplify right side
    4,944.80x = 12,284,409.87
  5. Step 5: Solve for x
    x = 12,284,409.87/4,944.80
  6. Step 6: Final answer
    x = 2,484.31

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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.