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Finding the Fourth Proportional to 3,242.77, 4,475.39 and 1,826.50

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Solution

The fourth proportional to 3,242.77, 4,475.39 and 1,826.50 is: 2,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.77 : 4,475.39 = 1,826.50 : x
  2. Step 2: Convert to fraction form
    3,242.77/4,475.39 = 1,826.50/x
  3. Step 3: Cross multiply
    3,242.77x = 4,475.39 × 1,826.50
  4. Step 4: Simplify right side
    3,242.77x = 8,174,299.84
  5. Step 5: Solve for x
    x = 8,174,299.84/3,242.77
  6. Step 6: Final answer
    x = 2,520.78

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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.