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Finding the Fourth Proportional to 4,784.96, 7,177.02 and 1,664.43

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Solution

The fourth proportional to 4,784.96, 7,177.02 and 1,664.43 is: 2,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.96 : 7,177.02 = 1,664.43 : x
  2. Step 2: Convert to fraction form
    4,784.96/7,177.02 = 1,664.43/x
  3. Step 3: Cross multiply
    4,784.96x = 7,177.02 × 1,664.43
  4. Step 4: Simplify right side
    4,784.96x = 11,945,663.98
  5. Step 5: Solve for x
    x = 11,945,663.98/4,784.96
  6. Step 6: Final answer
    x = 2,496.50

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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.