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Finding the Fourth Proportional to 3,232.88, 4,461.24 and 1,835.76

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Solution

The fourth proportional to 3,232.88, 4,461.24 and 1,835.76 is: 2,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.88 : 4,461.24 = 1,835.76 : x
  2. Step 2: Convert to fraction form
    3,232.88/4,461.24 = 1,835.76/x
  3. Step 3: Cross multiply
    3,232.88x = 4,461.24 × 1,835.76
  4. Step 4: Simplify right side
    3,232.88x = 8,189,765.94
  5. Step 5: Solve for x
    x = 8,189,765.94/3,232.88
  6. Step 6: Final answer
    x = 2,533.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.