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Finding the Fourth Proportional to 2,805.10, 4,178.86 and 2,678.74

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Solution

The fourth proportional to 2,805.10, 4,178.86 and 2,678.74 is: 3,990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.10 : 4,178.86 = 2,678.74 : x
  2. Step 2: Convert to fraction form
    2,805.10/4,178.86 = 2,678.74/x
  3. Step 3: Cross multiply
    2,805.10x = 4,178.86 × 2,678.74
  4. Step 4: Simplify right side
    2,805.10x = 11,194,079.44
  5. Step 5: Solve for x
    x = 11,194,079.44/2,805.10
  6. Step 6: Final answer
    x = 3,990.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.