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Finding the Fourth Proportional to 2,362.41, 3,260.12 and 1,314.47

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Solution

The fourth proportional to 2,362.41, 3,260.12 and 1,314.47 is: 1,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.41 : 3,260.12 = 1,314.47 : x
  2. Step 2: Convert to fraction form
    2,362.41/3,260.12 = 1,314.47/x
  3. Step 3: Cross multiply
    2,362.41x = 3,260.12 × 1,314.47
  4. Step 4: Simplify right side
    2,362.41x = 4,285,333.22
  5. Step 5: Solve for x
    x = 4,285,333.22/2,362.41
  6. Step 6: Final answer
    x = 1,813.97

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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.