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Finding the Fourth Proportional to 1,934.88, 2,903.40 and 839.22

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Solution

The fourth proportional to 1,934.88, 2,903.40 and 839.22 is: 1,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.88 : 2,903.40 = 839.22 : x
  2. Step 2: Convert to fraction form
    1,934.88/2,903.40 = 839.22/x
  3. Step 3: Cross multiply
    1,934.88x = 2,903.40 × 839.22
  4. Step 4: Simplify right side
    1,934.88x = 2,436,591.35
  5. Step 5: Solve for x
    x = 2,436,591.35/1,934.88
  6. Step 6: Final answer
    x = 1,259.30

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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.