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Finding the Fourth Proportional to 1,936.17, 2,904.12 and 619.92

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Solution

The fourth proportional to 1,936.17, 2,904.12 and 619.92 is: 929.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.17 : 2,904.12 = 619.92 : x
  2. Step 2: Convert to fraction form
    1,936.17/2,904.12 = 619.92/x
  3. Step 3: Cross multiply
    1,936.17x = 2,904.12 × 619.92
  4. Step 4: Simplify right side
    1,936.17x = 1,800,322.07
  5. Step 5: Solve for x
    x = 1,800,322.07/1,936.17
  6. Step 6: Final answer
    x = 929.84

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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.