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Finding the Fourth Proportional to 3,006.63, 4,503.82 and 1,441.87

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Solution

The fourth proportional to 3,006.63, 4,503.82 and 1,441.87 is: 2,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.63 : 4,503.82 = 1,441.87 : x
  2. Step 2: Convert to fraction form
    3,006.63/4,503.82 = 1,441.87/x
  3. Step 3: Cross multiply
    3,006.63x = 4,503.82 × 1,441.87
  4. Step 4: Simplify right side
    3,006.63x = 6,493,908.08
  5. Step 5: Solve for x
    x = 6,493,908.08/3,006.63
  6. Step 6: Final answer
    x = 2,159.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.