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Finding the Fourth Proportional to 2,647.32, 3,660.36 and 2,319.36

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Solution

The fourth proportional to 2,647.32, 3,660.36 and 2,319.36 is: 3,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.32 : 3,660.36 = 2,319.36 : x
  2. Step 2: Convert to fraction form
    2,647.32/3,660.36 = 2,319.36/x
  3. Step 3: Cross multiply
    2,647.32x = 3,660.36 × 2,319.36
  4. Step 4: Simplify right side
    2,647.32x = 8,489,692.57
  5. Step 5: Solve for x
    x = 8,489,692.57/2,647.32
  6. Step 6: Final answer
    x = 3,206.90

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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.