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Finding the Fourth Proportional to 2,279.68, 3,146.02 and 1,284.99

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Solution

The fourth proportional to 2,279.68, 3,146.02 and 1,284.99 is: 1,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.68 : 3,146.02 = 1,284.99 : x
  2. Step 2: Convert to fraction form
    2,279.68/3,146.02 = 1,284.99/x
  3. Step 3: Cross multiply
    2,279.68x = 3,146.02 × 1,284.99
  4. Step 4: Simplify right side
    2,279.68x = 4,042,604.24
  5. Step 5: Solve for x
    x = 4,042,604.24/2,279.68
  6. Step 6: Final answer
    x = 1,773.32

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Why These Related Problems?

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