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Finding the Fourth Proportional to 2,108.57, 2,909.30 and 1,269.09

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Solution

The fourth proportional to 2,108.57, 2,909.30 and 1,269.09 is: 1,751.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.57 : 2,909.30 = 1,269.09 : x
  2. Step 2: Convert to fraction form
    2,108.57/2,909.30 = 1,269.09/x
  3. Step 3: Cross multiply
    2,108.57x = 2,909.30 × 1,269.09
  4. Step 4: Simplify right side
    2,108.57x = 3,692,157.19
  5. Step 5: Solve for x
    x = 3,692,157.19/2,108.57
  6. Step 6: Final answer
    x = 1,751.03

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