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Finding the Fourth Proportional to 2,312.70, 3,191.67 and 1,516.50

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Solution

The fourth proportional to 2,312.70, 3,191.67 and 1,516.50 is: 2,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.70 : 3,191.67 = 1,516.50 : x
  2. Step 2: Convert to fraction form
    2,312.70/3,191.67 = 1,516.50/x
  3. Step 3: Cross multiply
    2,312.70x = 3,191.67 × 1,516.50
  4. Step 4: Simplify right side
    2,312.70x = 4,840,167.56
  5. Step 5: Solve for x
    x = 4,840,167.56/2,312.70
  6. Step 6: Final answer
    x = 2,092.86

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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.