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Finding the Fourth Proportional to 2,678.57, 3,694.34 and 2,047.51

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Solution

The fourth proportional to 2,678.57, 3,694.34 and 2,047.51 is: 2,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.57 : 3,694.34 = 2,047.51 : x
  2. Step 2: Convert to fraction form
    2,678.57/3,694.34 = 2,047.51/x
  3. Step 3: Cross multiply
    2,678.57x = 3,694.34 × 2,047.51
  4. Step 4: Simplify right side
    2,678.57x = 7,564,193.98
  5. Step 5: Solve for x
    x = 7,564,193.98/2,678.57
  6. Step 6: Final answer
    x = 2,823.97

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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.