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Finding the Fourth Proportional to 2,170.56, 3,252.42 and 1,678.17

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Solution

The fourth proportional to 2,170.56, 3,252.42 and 1,678.17 is: 2,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.56 : 3,252.42 = 1,678.17 : x
  2. Step 2: Convert to fraction form
    2,170.56/3,252.42 = 1,678.17/x
  3. Step 3: Cross multiply
    2,170.56x = 3,252.42 × 1,678.17
  4. Step 4: Simplify right side
    2,170.56x = 5,458,097.41
  5. Step 5: Solve for x
    x = 5,458,097.41/2,170.56
  6. Step 6: Final answer
    x = 2,514.61

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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.