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Finding the Fourth Proportional to 1,678.78, 2,316.36 and 979.84

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Solution

The fourth proportional to 1,678.78, 2,316.36 and 979.84 is: 1,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.78 : 2,316.36 = 979.84 : x
  2. Step 2: Convert to fraction form
    1,678.78/2,316.36 = 979.84/x
  3. Step 3: Cross multiply
    1,678.78x = 2,316.36 × 979.84
  4. Step 4: Simplify right side
    1,678.78x = 2,269,662.18
  5. Step 5: Solve for x
    x = 2,269,662.18/1,678.78
  6. Step 6: Final answer
    x = 1,351.97

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