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Finding the Fourth Proportional to 2,516.98, 3,475.29 and 2,167.06

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Solution

The fourth proportional to 2,516.98, 3,475.29 and 2,167.06 is: 2,992.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.98 : 3,475.29 = 2,167.06 : x
  2. Step 2: Convert to fraction form
    2,516.98/3,475.29 = 2,167.06/x
  3. Step 3: Cross multiply
    2,516.98x = 3,475.29 × 2,167.06
  4. Step 4: Simplify right side
    2,516.98x = 7,531,161.95
  5. Step 5: Solve for x
    x = 7,531,161.95/2,516.98
  6. Step 6: Final answer
    x = 2,992.14

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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.