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Finding the Fourth Proportional to 2,065.67, 3,100.02 and 1,372.10

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Solution

The fourth proportional to 2,065.67, 3,100.02 and 1,372.10 is: 2,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.67 : 3,100.02 = 1,372.10 : x
  2. Step 2: Convert to fraction form
    2,065.67/3,100.02 = 1,372.10/x
  3. Step 3: Cross multiply
    2,065.67x = 3,100.02 × 1,372.10
  4. Step 4: Simplify right side
    2,065.67x = 4,253,537.44
  5. Step 5: Solve for x
    x = 4,253,537.44/2,065.67
  6. Step 6: Final answer
    x = 2,059.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.