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Finding the Fourth Proportional to 3,266.96, 4,897.20 and 1,533.56

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Solution

The fourth proportional to 3,266.96, 4,897.20 and 1,533.56 is: 2,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.96 : 4,897.20 = 1,533.56 : x
  2. Step 2: Convert to fraction form
    3,266.96/4,897.20 = 1,533.56/x
  3. Step 3: Cross multiply
    3,266.96x = 4,897.20 × 1,533.56
  4. Step 4: Simplify right side
    3,266.96x = 7,510,150.03
  5. Step 5: Solve for x
    x = 7,510,150.03/3,266.96
  6. Step 6: Final answer
    x = 2,298.82

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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.