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Finding the Fourth Proportional to 3,003.94, 4,506.72 and 1,519.57

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Solution

The fourth proportional to 3,003.94, 4,506.72 and 1,519.57 is: 2,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.94 : 4,506.72 = 1,519.57 : x
  2. Step 2: Convert to fraction form
    3,003.94/4,506.72 = 1,519.57/x
  3. Step 3: Cross multiply
    3,003.94x = 4,506.72 × 1,519.57
  4. Step 4: Simplify right side
    3,003.94x = 6,848,276.51
  5. Step 5: Solve for x
    x = 6,848,276.51/3,003.94
  6. Step 6: Final answer
    x = 2,279.76

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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.