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Finding the Fourth Proportional to 2,506.67, 3,461.78 and 2,116.79

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Solution

The fourth proportional to 2,506.67, 3,461.78 and 2,116.79 is: 2,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.67 : 3,461.78 = 2,116.79 : x
  2. Step 2: Convert to fraction form
    2,506.67/3,461.78 = 2,116.79/x
  3. Step 3: Cross multiply
    2,506.67x = 3,461.78 × 2,116.79
  4. Step 4: Simplify right side
    2,506.67x = 7,327,850.70
  5. Step 5: Solve for x
    x = 7,327,850.70/2,506.67
  6. Step 6: Final answer
    x = 2,923.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.