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Finding the Fourth Proportional to 2,245, 3,098.34 and 1,314.28

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Solution

The fourth proportional to 2,245, 3,098.34 and 1,314.28 is: 1,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245 : 3,098.34 = 1,314.28 : x
  2. Step 2: Convert to fraction form
    2,245/3,098.34 = 1,314.28/x
  3. Step 3: Cross multiply
    2,245x = 3,098.34 × 1,314.28
  4. Step 4: Simplify right side
    2,245x = 4,072,086.30
  5. Step 5: Solve for x
    x = 4,072,086.30/2,245
  6. Step 6: Final answer
    x = 1,813.85

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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.