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Finding the Fourth Proportional to 1,934.94, 2,902.41 and 1,241.94

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Solution

The fourth proportional to 1,934.94, 2,902.41 and 1,241.94 is: 1,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.94 : 2,902.41 = 1,241.94 : x
  2. Step 2: Convert to fraction form
    1,934.94/2,902.41 = 1,241.94/x
  3. Step 3: Cross multiply
    1,934.94x = 2,902.41 × 1,241.94
  4. Step 4: Simplify right side
    1,934.94x = 3,604,619.08
  5. Step 5: Solve for x
    x = 3,604,619.08/1,934.94
  6. Step 6: Final answer
    x = 1,862.91

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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.