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Finding the Fourth Proportional to 2,902.94, 4,355.22 and 956.54

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Solution

The fourth proportional to 2,902.94, 4,355.22 and 956.54 is: 1,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.94 : 4,355.22 = 956.54 : x
  2. Step 2: Convert to fraction form
    2,902.94/4,355.22 = 956.54/x
  3. Step 3: Cross multiply
    2,902.94x = 4,355.22 × 956.54
  4. Step 4: Simplify right side
    2,902.94x = 4,165,942.14
  5. Step 5: Solve for x
    x = 4,165,942.14/2,902.94
  6. Step 6: Final answer
    x = 1,435.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.