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Finding the Fourth Proportional to 2,678.29, 3,694.28 and 2,048.92

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Solution

The fourth proportional to 2,678.29, 3,694.28 and 2,048.92 is: 2,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.29 : 3,694.28 = 2,048.92 : x
  2. Step 2: Convert to fraction form
    2,678.29/3,694.28 = 2,048.92/x
  3. Step 3: Cross multiply
    2,678.29x = 3,694.28 × 2,048.92
  4. Step 4: Simplify right side
    2,678.29x = 7,569,264.70
  5. Step 5: Solve for x
    x = 7,569,264.70/2,678.29
  6. Step 6: Final answer
    x = 2,826.16

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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.