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Finding the Fourth Proportional to 2,356.72, 3,245.34 and 2,305.60

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Solution

The fourth proportional to 2,356.72, 3,245.34 and 2,305.60 is: 3,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.72 : 3,245.34 = 2,305.60 : x
  2. Step 2: Convert to fraction form
    2,356.72/3,245.34 = 2,305.60/x
  3. Step 3: Cross multiply
    2,356.72x = 3,245.34 × 2,305.60
  4. Step 4: Simplify right side
    2,356.72x = 7,482,455.90
  5. Step 5: Solve for x
    x = 7,482,455.90/2,356.72
  6. Step 6: Final answer
    x = 3,174.94

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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.