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Finding the Fourth Proportional to 4,143.92, 6,215.89 and 1,678.78

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Solution

The fourth proportional to 4,143.92, 6,215.89 and 1,678.78 is: 2,518.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.92 : 6,215.89 = 1,678.78 : x
  2. Step 2: Convert to fraction form
    4,143.92/6,215.89 = 1,678.78/x
  3. Step 3: Cross multiply
    4,143.92x = 6,215.89 × 1,678.78
  4. Step 4: Simplify right side
    4,143.92x = 10,435,111.81
  5. Step 5: Solve for x
    x = 10,435,111.81/4,143.92
  6. Step 6: Final answer
    x = 2,518.18

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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.