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Finding the Fourth Proportional to 2,774.34, 4,159.46 and 1,678.44

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Solution

The fourth proportional to 2,774.34, 4,159.46 and 1,678.44 is: 2,516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.34 : 4,159.46 = 1,678.44 : x
  2. Step 2: Convert to fraction form
    2,774.34/4,159.46 = 1,678.44/x
  3. Step 3: Cross multiply
    2,774.34x = 4,159.46 × 1,678.44
  4. Step 4: Simplify right side
    2,774.34x = 6,981,404.04
  5. Step 5: Solve for x
    x = 6,981,404.04/2,774.34
  6. Step 6: Final answer
    x = 2,516.42

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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.