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Finding the Fourth Proportional to 2,502.16, 3,770.12 and 2,072.96

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Solution

The fourth proportional to 2,502.16, 3,770.12 and 2,072.96 is: 3,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.16 : 3,770.12 = 2,072.96 : x
  2. Step 2: Convert to fraction form
    2,502.16/3,770.12 = 2,072.96/x
  3. Step 3: Cross multiply
    2,502.16x = 3,770.12 × 2,072.96
  4. Step 4: Simplify right side
    2,502.16x = 7,815,311.34
  5. Step 5: Solve for x
    x = 7,815,311.34/2,502.16
  6. Step 6: Final answer
    x = 3,123.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.