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Finding the Fourth Proportional to 2,349.56, 3,240.57 and 1,641.17

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Solution

The fourth proportional to 2,349.56, 3,240.57 and 1,641.17 is: 2,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.56 : 3,240.57 = 1,641.17 : x
  2. Step 2: Convert to fraction form
    2,349.56/3,240.57 = 1,641.17/x
  3. Step 3: Cross multiply
    2,349.56x = 3,240.57 × 1,641.17
  4. Step 4: Simplify right side
    2,349.56x = 5,318,326.27
  5. Step 5: Solve for x
    x = 5,318,326.27/2,349.56
  6. Step 6: Final answer
    x = 2,263.54

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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.