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Finding the Fourth Proportional to 2,107.80, 3,157.14 and 1,375.15

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Solution

The fourth proportional to 2,107.80, 3,157.14 and 1,375.15 is: 2,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.80 : 3,157.14 = 1,375.15 : x
  2. Step 2: Convert to fraction form
    2,107.80/3,157.14 = 1,375.15/x
  3. Step 3: Cross multiply
    2,107.80x = 3,157.14 × 1,375.15
  4. Step 4: Simplify right side
    2,107.80x = 4,341,541.07
  5. Step 5: Solve for x
    x = 4,341,541.07/2,107.80
  6. Step 6: Final answer
    x = 2,059.75

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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.