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Finding the Fourth Proportional to 2,678.92, 4,009.64 and 2,423.17

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Solution

The fourth proportional to 2,678.92, 4,009.64 and 2,423.17 is: 3,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.92 : 4,009.64 = 2,423.17 : x
  2. Step 2: Convert to fraction form
    2,678.92/4,009.64 = 2,423.17/x
  3. Step 3: Cross multiply
    2,678.92x = 4,009.64 × 2,423.17
  4. Step 4: Simplify right side
    2,678.92x = 9,716,009.70
  5. Step 5: Solve for x
    x = 9,716,009.70/2,678.92
  6. Step 6: Final answer
    x = 3,626.83

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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.