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Finding the Fourth Proportional to 2,635.20, 3,950.32 and 902.61

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Solution

The fourth proportional to 2,635.20, 3,950.32 and 902.61 is: 1,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.20 : 3,950.32 = 902.61 : x
  2. Step 2: Convert to fraction form
    2,635.20/3,950.32 = 902.61/x
  3. Step 3: Cross multiply
    2,635.20x = 3,950.32 × 902.61
  4. Step 4: Simplify right side
    2,635.20x = 3,565,598.34
  5. Step 5: Solve for x
    x = 3,565,598.34/2,635.20
  6. Step 6: Final answer
    x = 1,353.07

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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.