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Finding the Fourth Proportional to 2,856.98, 3,942.60 and 1,678.16

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Solution

The fourth proportional to 2,856.98, 3,942.60 and 1,678.16 is: 2,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.98 : 3,942.60 = 1,678.16 : x
  2. Step 2: Convert to fraction form
    2,856.98/3,942.60 = 1,678.16/x
  3. Step 3: Cross multiply
    2,856.98x = 3,942.60 × 1,678.16
  4. Step 4: Simplify right side
    2,856.98x = 6,616,313.62
  5. Step 5: Solve for x
    x = 6,616,313.62/2,856.98
  6. Step 6: Final answer
    x = 2,315.84

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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.