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Finding the Fourth Proportional to 1,934.62, 2,902.64 and 839.77

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Solution

The fourth proportional to 1,934.62, 2,902.64 and 839.77 is: 1,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.62 : 2,902.64 = 839.77 : x
  2. Step 2: Convert to fraction form
    1,934.62/2,902.64 = 839.77/x
  3. Step 3: Cross multiply
    1,934.62x = 2,902.64 × 839.77
  4. Step 4: Simplify right side
    1,934.62x = 2,437,538.54
  5. Step 5: Solve for x
    x = 2,437,538.54/1,934.62
  6. Step 6: Final answer
    x = 1,259.96

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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.