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Finding the Fourth Proportional to 3,203.56, 4,805.16 and 1,122.76

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Solution

The fourth proportional to 3,203.56, 4,805.16 and 1,122.76 is: 1,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.56 : 4,805.16 = 1,122.76 : x
  2. Step 2: Convert to fraction form
    3,203.56/4,805.16 = 1,122.76/x
  3. Step 3: Cross multiply
    3,203.56x = 4,805.16 × 1,122.76
  4. Step 4: Simplify right side
    3,203.56x = 5,395,041.44
  5. Step 5: Solve for x
    x = 5,395,041.44/3,203.56
  6. Step 6: Final answer
    x = 1,684.08

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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.