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Finding the Fourth Proportional to 2,343.24, 3,514.62 and 956.73

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Solution

The fourth proportional to 2,343.24, 3,514.62 and 956.73 is: 1,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.24 : 3,514.62 = 956.73 : x
  2. Step 2: Convert to fraction form
    2,343.24/3,514.62 = 956.73/x
  3. Step 3: Cross multiply
    2,343.24x = 3,514.62 × 956.73
  4. Step 4: Simplify right side
    2,343.24x = 3,362,542.39
  5. Step 5: Solve for x
    x = 3,362,542.39/2,343.24
  6. Step 6: Final answer
    x = 1,435.00

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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.