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Finding the Fourth Proportional to 3,102.50, 4,654.03 and 794.02

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Solution

The fourth proportional to 3,102.50, 4,654.03 and 794.02 is: 1,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.50 : 4,654.03 = 794.02 : x
  2. Step 2: Convert to fraction form
    3,102.50/4,654.03 = 794.02/x
  3. Step 3: Cross multiply
    3,102.50x = 4,654.03 × 794.02
  4. Step 4: Simplify right side
    3,102.50x = 3,695,392.90
  5. Step 5: Solve for x
    x = 3,695,392.90/3,102.50
  6. Step 6: Final answer
    x = 1,191.10

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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.