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Finding the Fourth Proportional to 2,932.64, 4,399.00 and 741.38

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Solution

The fourth proportional to 2,932.64, 4,399.00 and 741.38 is: 1,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.64 : 4,399.00 = 741.38 : x
  2. Step 2: Convert to fraction form
    2,932.64/4,399.00 = 741.38/x
  3. Step 3: Cross multiply
    2,932.64x = 4,399.00 × 741.38
  4. Step 4: Simplify right side
    2,932.64x = 3,261,339.76
  5. Step 5: Solve for x
    x = 3,261,339.76/2,932.64
  6. Step 6: Final answer
    x = 1,112.09

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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.