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Finding the Fourth Proportional to 1,614.29, 2,421.23 and 996.86

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Solution

The fourth proportional to 1,614.29, 2,421.23 and 996.86 is: 1,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.29 : 2,421.23 = 996.86 : x
  2. Step 2: Convert to fraction form
    1,614.29/2,421.23 = 996.86/x
  3. Step 3: Cross multiply
    1,614.29x = 2,421.23 × 996.86
  4. Step 4: Simplify right side
    1,614.29x = 2,413,628.41
  5. Step 5: Solve for x
    x = 2,413,628.41/1,614.29
  6. Step 6: Final answer
    x = 1,495.17

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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.