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Finding the Fourth Proportional to 1,934.21, 2,902.54 and 823.63

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Solution

The fourth proportional to 1,934.21, 2,902.54 and 823.63 is: 1,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.21 : 2,902.54 = 823.63 : x
  2. Step 2: Convert to fraction form
    1,934.21/2,902.54 = 823.63/x
  3. Step 3: Cross multiply
    1,934.21x = 2,902.54 × 823.63
  4. Step 4: Simplify right side
    1,934.21x = 2,390,609.70
  5. Step 5: Solve for x
    x = 2,390,609.70/1,934.21
  6. Step 6: Final answer
    x = 1,235.96

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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.