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Finding the Fourth Proportional to 2,902.60, 4,002.60 and 2,272

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Solution

The fourth proportional to 2,902.60, 4,002.60 and 2,272 is: 3,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.60 : 4,002.60 = 2,272 : x
  2. Step 2: Convert to fraction form
    2,902.60/4,002.60 = 2,272/x
  3. Step 3: Cross multiply
    2,902.60x = 4,002.60 × 2,272
  4. Step 4: Simplify right side
    2,902.60x = 9,093,907.20
  5. Step 5: Solve for x
    x = 9,093,907.20/2,902.60
  6. Step 6: Final answer
    x = 3,133.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.