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Finding the Fourth Proportional to 2,274.66, 3,409.92 and 1,453.14

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Solution

The fourth proportional to 2,274.66, 3,409.92 and 1,453.14 is: 2,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.66 : 3,409.92 = 1,453.14 : x
  2. Step 2: Convert to fraction form
    2,274.66/3,409.92 = 1,453.14/x
  3. Step 3: Cross multiply
    2,274.66x = 3,409.92 × 1,453.14
  4. Step 4: Simplify right side
    2,274.66x = 4,955,091.15
  5. Step 5: Solve for x
    x = 4,955,091.15/2,274.66
  6. Step 6: Final answer
    x = 2,178.39

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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.