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Finding the Fourth Proportional to 3,303.72, 4,954.32 and 1,082.00

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Solution

The fourth proportional to 3,303.72, 4,954.32 and 1,082.00 is: 1,622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.72 : 4,954.32 = 1,082.00 : x
  2. Step 2: Convert to fraction form
    3,303.72/4,954.32 = 1,082.00/x
  3. Step 3: Cross multiply
    3,303.72x = 4,954.32 × 1,082.00
  4. Step 4: Simplify right side
    3,303.72x = 5,360,586.63
  5. Step 5: Solve for x
    x = 5,360,586.63/3,303.72
  6. Step 6: Final answer
    x = 1,622.59

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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.