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Finding the Fourth Proportional to 2,809.46, 3,876.58 and 1,630.50

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Solution

The fourth proportional to 2,809.46, 3,876.58 and 1,630.50 is: 2,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.46 : 3,876.58 = 1,630.50 : x
  2. Step 2: Convert to fraction form
    2,809.46/3,876.58 = 1,630.50/x
  3. Step 3: Cross multiply
    2,809.46x = 3,876.58 × 1,630.50
  4. Step 4: Simplify right side
    2,809.46x = 6,320,763.69
  5. Step 5: Solve for x
    x = 6,320,763.69/2,809.46
  6. Step 6: Final answer
    x = 2,249.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.