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Finding the Fourth Proportional to 2,678.63, 4,016.63 and 1,118.17

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Solution

The fourth proportional to 2,678.63, 4,016.63 and 1,118.17 is: 1,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.63 : 4,016.63 = 1,118.17 : x
  2. Step 2: Convert to fraction form
    2,678.63/4,016.63 = 1,118.17/x
  3. Step 3: Cross multiply
    2,678.63x = 4,016.63 × 1,118.17
  4. Step 4: Simplify right side
    2,678.63x = 4,491,255.08
  5. Step 5: Solve for x
    x = 4,491,255.08/2,678.63
  6. Step 6: Final answer
    x = 1,676.70

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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.