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Finding the Fourth Proportional to 2,345.24, 3,517.62 and 958.73

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Solution

The fourth proportional to 2,345.24, 3,517.62 and 958.73 is: 1,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.24 : 3,517.62 = 958.73 : x
  2. Step 2: Convert to fraction form
    2,345.24/3,517.62 = 958.73/x
  3. Step 3: Cross multiply
    2,345.24x = 3,517.62 × 958.73
  4. Step 4: Simplify right side
    2,345.24x = 3,372,447.82
  5. Step 5: Solve for x
    x = 3,372,447.82/2,345.24
  6. Step 6: Final answer
    x = 1,438.00

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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.