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Finding the Fourth Proportional to 2,274.90, 3,188.10 and 2,274.90

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Solution

The fourth proportional to 2,274.90, 3,188.10 and 2,274.90 is: 3,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.90 : 3,188.10 = 2,274.90 : x
  2. Step 2: Convert to fraction form
    2,274.90/3,188.10 = 2,274.90/x
  3. Step 3: Cross multiply
    2,274.90x = 3,188.10 × 2,274.90
  4. Step 4: Simplify right side
    2,274.90x = 7,252,608.69
  5. Step 5: Solve for x
    x = 7,252,608.69/2,274.90
  6. Step 6: Final answer
    x = 3,188.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.