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Finding the Fourth Proportional to 3,102.84, 4,654.08 and 794.34

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Solution

The fourth proportional to 3,102.84, 4,654.08 and 794.34 is: 1,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.84 : 4,654.08 = 794.34 : x
  2. Step 2: Convert to fraction form
    3,102.84/4,654.08 = 794.34/x
  3. Step 3: Cross multiply
    3,102.84x = 4,654.08 × 794.34
  4. Step 4: Simplify right side
    3,102.84x = 3,696,921.91
  5. Step 5: Solve for x
    x = 3,696,921.91/3,102.84
  6. Step 6: Final answer
    x = 1,191.46

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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.