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Finding the Fourth Proportional to 2,732.13, 3,770.19 and 1,537.11

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Solution

The fourth proportional to 2,732.13, 3,770.19 and 1,537.11 is: 2,121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.13 : 3,770.19 = 1,537.11 : x
  2. Step 2: Convert to fraction form
    2,732.13/3,770.19 = 1,537.11/x
  3. Step 3: Cross multiply
    2,732.13x = 3,770.19 × 1,537.11
  4. Step 4: Simplify right side
    2,732.13x = 5,795,196.75
  5. Step 5: Solve for x
    x = 5,795,196.75/2,732.13
  6. Step 6: Final answer
    x = 2,121.13

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Why These Related Problems?

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