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Finding the Fourth Proportional to 2,678.62, 4,018.46 and 1,292.91

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Solution

The fourth proportional to 2,678.62, 4,018.46 and 1,292.91 is: 1,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.62 : 4,018.46 = 1,292.91 : x
  2. Step 2: Convert to fraction form
    2,678.62/4,018.46 = 1,292.91/x
  3. Step 3: Cross multiply
    2,678.62x = 4,018.46 × 1,292.91
  4. Step 4: Simplify right side
    2,678.62x = 5,195,515.46
  5. Step 5: Solve for x
    x = 5,195,515.46/2,678.62
  6. Step 6: Final answer
    x = 1,939.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.