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Finding the Fourth Proportional to 1,954.92, 2,932.18 and 494.08

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Solution

The fourth proportional to 1,954.92, 2,932.18 and 494.08 is: 741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.92 : 2,932.18 = 494.08 : x
  2. Step 2: Convert to fraction form
    1,954.92/2,932.18 = 494.08/x
  3. Step 3: Cross multiply
    1,954.92x = 2,932.18 × 494.08
  4. Step 4: Simplify right side
    1,954.92x = 1,448,731.49
  5. Step 5: Solve for x
    x = 1,448,731.49/1,954.92
  6. Step 6: Final answer
    x = 741.07

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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.