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Finding the Fourth Proportional to 2,103.48, 3,157.91 and 1,314.07

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Solution

The fourth proportional to 2,103.48, 3,157.91 and 1,314.07 is: 1,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.48 : 3,157.91 = 1,314.07 : x
  2. Step 2: Convert to fraction form
    2,103.48/3,157.91 = 1,314.07/x
  3. Step 3: Cross multiply
    2,103.48x = 3,157.91 × 1,314.07
  4. Step 4: Simplify right side
    2,103.48x = 4,149,692.43
  5. Step 5: Solve for x
    x = 4,149,692.43/2,103.48
  6. Step 6: Final answer
    x = 1,972.78

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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.