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Finding the Fourth Proportional to 2,310.46, 3,464.98 and 1,519.79

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Solution

The fourth proportional to 2,310.46, 3,464.98 and 1,519.79 is: 2,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.46 : 3,464.98 = 1,519.79 : x
  2. Step 2: Convert to fraction form
    2,310.46/3,464.98 = 1,519.79/x
  3. Step 3: Cross multiply
    2,310.46x = 3,464.98 × 1,519.79
  4. Step 4: Simplify right side
    2,310.46x = 5,266,041.95
  5. Step 5: Solve for x
    x = 5,266,041.95/2,310.46
  6. Step 6: Final answer
    x = 2,279.22

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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.