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Finding the Fourth Proportional to 2,410.89, 3,616.47 and 951.27

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Solution

The fourth proportional to 2,410.89, 3,616.47 and 951.27 is: 1,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.89 : 3,616.47 = 951.27 : x
  2. Step 2: Convert to fraction form
    2,410.89/3,616.47 = 951.27/x
  3. Step 3: Cross multiply
    2,410.89x = 3,616.47 × 951.27
  4. Step 4: Simplify right side
    2,410.89x = 3,440,239.42
  5. Step 5: Solve for x
    x = 3,440,239.42/2,410.89
  6. Step 6: Final answer
    x = 1,426.96

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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.