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Finding the Fourth Proportional to 2,678.27, 4,016.99 and 946.89

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Solution

The fourth proportional to 2,678.27, 4,016.99 and 946.89 is: 1,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.27 : 4,016.99 = 946.89 : x
  2. Step 2: Convert to fraction form
    2,678.27/4,016.99 = 946.89/x
  3. Step 3: Cross multiply
    2,678.27x = 4,016.99 × 946.89
  4. Step 4: Simplify right side
    2,678.27x = 3,803,650.03
  5. Step 5: Solve for x
    x = 3,803,650.03/2,678.27
  6. Step 6: Final answer
    x = 1,420.19

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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.