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Finding the Fourth Proportional to 3,302.56, 4,954.20 and 1,355.68

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Solution

The fourth proportional to 3,302.56, 4,954.20 and 1,355.68 is: 2,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.56 : 4,954.20 = 1,355.68 : x
  2. Step 2: Convert to fraction form
    3,302.56/4,954.20 = 1,355.68/x
  3. Step 3: Cross multiply
    3,302.56x = 4,954.20 × 1,355.68
  4. Step 4: Simplify right side
    3,302.56x = 6,716,309.86
  5. Step 5: Solve for x
    x = 6,716,309.86/3,302.56
  6. Step 6: Final answer
    x = 2,033.67

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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.