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Finding the Fourth Proportional to 2,269.55, 3,131.82 and 1,274.81

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Solution

The fourth proportional to 2,269.55, 3,131.82 and 1,274.81 is: 1,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.55 : 3,131.82 = 1,274.81 : x
  2. Step 2: Convert to fraction form
    2,269.55/3,131.82 = 1,274.81/x
  3. Step 3: Cross multiply
    2,269.55x = 3,131.82 × 1,274.81
  4. Step 4: Simplify right side
    2,269.55x = 3,992,459.80
  5. Step 5: Solve for x
    x = 3,992,459.80/2,269.55
  6. Step 6: Final answer
    x = 1,759.14

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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.