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Finding the Fourth Proportional to 2,343.24, 3,514.64 and 956.63

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Solution

The fourth proportional to 2,343.24, 3,514.64 and 956.63 is: 1,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.24 : 3,514.64 = 956.63 : x
  2. Step 2: Convert to fraction form
    2,343.24/3,514.64 = 956.63/x
  3. Step 3: Cross multiply
    2,343.24x = 3,514.64 × 956.63
  4. Step 4: Simplify right side
    2,343.24x = 3,362,187.71
  5. Step 5: Solve for x
    x = 3,362,187.71/2,343.24
  6. Step 6: Final answer
    x = 1,434.85

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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.