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Finding the Fourth Proportional to 3,294.51, 4,942.58 and 2,322.51

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Solution

The fourth proportional to 3,294.51, 4,942.58 and 2,322.51 is: 3,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.51 : 4,942.58 = 2,322.51 : x
  2. Step 2: Convert to fraction form
    3,294.51/4,942.58 = 2,322.51/x
  3. Step 3: Cross multiply
    3,294.51x = 4,942.58 × 2,322.51
  4. Step 4: Simplify right side
    3,294.51x = 11,479,179.86
  5. Step 5: Solve for x
    x = 11,479,179.86/3,294.51
  6. Step 6: Final answer
    x = 3,484.34

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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.