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Finding the Fourth Proportional to 2,936.92, 4,053.14 and 1,678.28

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Solution

The fourth proportional to 2,936.92, 4,053.14 and 1,678.28 is: 2,316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.92 : 4,053.14 = 1,678.28 : x
  2. Step 2: Convert to fraction form
    2,936.92/4,053.14 = 1,678.28/x
  3. Step 3: Cross multiply
    2,936.92x = 4,053.14 × 1,678.28
  4. Step 4: Simplify right side
    2,936.92x = 6,802,303.80
  5. Step 5: Solve for x
    x = 6,802,303.80/2,936.92
  6. Step 6: Final answer
    x = 2,316.14

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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.