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Finding the Fourth Proportional to 2,940.42, 4,410.77 and 992.64

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Solution

The fourth proportional to 2,940.42, 4,410.77 and 992.64 is: 1,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.42 : 4,410.77 = 992.64 : x
  2. Step 2: Convert to fraction form
    2,940.42/4,410.77 = 992.64/x
  3. Step 3: Cross multiply
    2,940.42x = 4,410.77 × 992.64
  4. Step 4: Simplify right side
    2,940.42x = 4,378,301.77
  5. Step 5: Solve for x
    x = 4,378,301.77/2,940.42
  6. Step 6: Final answer
    x = 1,489.01

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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.