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Finding the Fourth Proportional to 1,936.02, 2,904.41 and 703.41

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Solution

The fourth proportional to 1,936.02, 2,904.41 and 703.41 is: 1,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.02 : 2,904.41 = 703.41 : x
  2. Step 2: Convert to fraction form
    1,936.02/2,904.41 = 703.41/x
  3. Step 3: Cross multiply
    1,936.02x = 2,904.41 × 703.41
  4. Step 4: Simplify right side
    1,936.02x = 2,042,987.52
  5. Step 5: Solve for x
    x = 2,042,987.52/1,936.02
  6. Step 6: Final answer
    x = 1,055.25

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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.