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Finding the Fourth Proportional to 2,102.95, 3,154.43 and 1,373.14

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Solution

The fourth proportional to 2,102.95, 3,154.43 and 1,373.14 is: 2,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.95 : 3,154.43 = 1,373.14 : x
  2. Step 2: Convert to fraction form
    2,102.95/3,154.43 = 1,373.14/x
  3. Step 3: Cross multiply
    2,102.95x = 3,154.43 × 1,373.14
  4. Step 4: Simplify right side
    2,102.95x = 4,331,474.01
  5. Step 5: Solve for x
    x = 4,331,474.01/2,102.95
  6. Step 6: Final answer
    x = 2,059.71

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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.