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Finding the Fourth Proportional to 2,273.46, 3,408.16 and 1,102.74

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Solution

The fourth proportional to 2,273.46, 3,408.16 and 1,102.74 is: 1,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.46 : 3,408.16 = 1,102.74 : x
  2. Step 2: Convert to fraction form
    2,273.46/3,408.16 = 1,102.74/x
  3. Step 3: Cross multiply
    2,273.46x = 3,408.16 × 1,102.74
  4. Step 4: Simplify right side
    2,273.46x = 3,758,314.36
  5. Step 5: Solve for x
    x = 3,758,314.36/2,273.46
  6. Step 6: Final answer
    x = 1,653.13

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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.