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Finding the Fourth Proportional to 2,256.02, 3,383.18 and 774.82

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Solution

The fourth proportional to 2,256.02, 3,383.18 and 774.82 is: 1,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.02 : 3,383.18 = 774.82 : x
  2. Step 2: Convert to fraction form
    2,256.02/3,383.18 = 774.82/x
  3. Step 3: Cross multiply
    2,256.02x = 3,383.18 × 774.82
  4. Step 4: Simplify right side
    2,256.02x = 2,621,347.55
  5. Step 5: Solve for x
    x = 2,621,347.55/2,256.02
  6. Step 6: Final answer
    x = 1,161.94

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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.