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Finding the Fourth Proportional to 2,806.32, 4,203.60 and 2,255.52

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Solution

The fourth proportional to 2,806.32, 4,203.60 and 2,255.52 is: 3,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.32 : 4,203.60 = 2,255.52 : x
  2. Step 2: Convert to fraction form
    2,806.32/4,203.60 = 2,255.52/x
  3. Step 3: Cross multiply
    2,806.32x = 4,203.60 × 2,255.52
  4. Step 4: Simplify right side
    2,806.32x = 9,481,303.87
  5. Step 5: Solve for x
    x = 9,481,303.87/2,806.32
  6. Step 6: Final answer
    x = 3,378.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.