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Finding the Fourth Proportional to 2,932.02, 4,400.04 and 1,289.02

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Solution

The fourth proportional to 2,932.02, 4,400.04 and 1,289.02 is: 1,934.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.02 : 4,400.04 = 1,289.02 : x
  2. Step 2: Convert to fraction form
    2,932.02/4,400.04 = 1,289.02/x
  3. Step 3: Cross multiply
    2,932.02x = 4,400.04 × 1,289.02
  4. Step 4: Simplify right side
    2,932.02x = 5,671,739.56
  5. Step 5: Solve for x
    x = 5,671,739.56/2,932.02
  6. Step 6: Final answer
    x = 1,934.41

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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.