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Finding the Fourth Proportional to 2,677.80, 4,016.70 and 946.38

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Solution

The fourth proportional to 2,677.80, 4,016.70 and 946.38 is: 1,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.80 : 4,016.70 = 946.38 : x
  2. Step 2: Convert to fraction form
    2,677.80/4,016.70 = 946.38/x
  3. Step 3: Cross multiply
    2,677.80x = 4,016.70 × 946.38
  4. Step 4: Simplify right side
    2,677.80x = 3,801,324.55
  5. Step 5: Solve for x
    x = 3,801,324.55/2,677.80
  6. Step 6: Final answer
    x = 1,419.57

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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.