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Finding the Fourth Proportional to 2,602.24, 3,902.96 and 847.30

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Solution

The fourth proportional to 2,602.24, 3,902.96 and 847.30 is: 1,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.24 : 3,902.96 = 847.30 : x
  2. Step 2: Convert to fraction form
    2,602.24/3,902.96 = 847.30/x
  3. Step 3: Cross multiply
    2,602.24x = 3,902.96 × 847.30
  4. Step 4: Simplify right side
    2,602.24x = 3,306,954.26
  5. Step 5: Solve for x
    x = 3,306,954.26/2,602.24
  6. Step 6: Final answer
    x = 1,270.81

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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.