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Finding the Fourth Proportional to 4,917.94, 7,378.06 and 1,630.96

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Solution

The fourth proportional to 4,917.94, 7,378.06 and 1,630.96 is: 2,446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.94 : 7,378.06 = 1,630.96 : x
  2. Step 2: Convert to fraction form
    4,917.94/7,378.06 = 1,630.96/x
  3. Step 3: Cross multiply
    4,917.94x = 7,378.06 × 1,630.96
  4. Step 4: Simplify right side
    4,917.94x = 12,033,320.74
  5. Step 5: Solve for x
    x = 12,033,320.74/4,917.94
  6. Step 6: Final answer
    x = 2,446.82

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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.