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Finding the Fourth Proportional to 2,735.15, 4,100.07 and 2,178.50

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Solution

The fourth proportional to 2,735.15, 4,100.07 and 2,178.50 is: 3,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.15 : 4,100.07 = 2,178.50 : x
  2. Step 2: Convert to fraction form
    2,735.15/4,100.07 = 2,178.50/x
  3. Step 3: Cross multiply
    2,735.15x = 4,100.07 × 2,178.50
  4. Step 4: Simplify right side
    2,735.15x = 8,932,005.06
  5. Step 5: Solve for x
    x = 8,932,005.06/2,735.15
  6. Step 6: Final answer
    x = 3,265.64

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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.